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Finding the Fourth Proportional to 17,830.64, 24,580.64 and 12,508.96

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Solution

The fourth proportional to 17,830.64, 24,580.64 and 12,508.96 is: 17,244.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,830.64 : 24,580.64 = 12,508.96 : x
  2. Step 2: Convert to fraction form
    17,830.64/24,580.64 = 12,508.96/x
  3. Step 3: Cross multiply
    17,830.64x = 24,580.64 × 12,508.96
  4. Step 4: Simplify right side
    17,830.64x = 307,478,242.53
  5. Step 5: Solve for x
    x = 307,478,242.53/17,830.64
  6. Step 6: Final answer
    x = 17,244.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.