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Finding the Fourth Proportional to 16,580.64, 22,878.63 and 9,505.74

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Solution

The fourth proportional to 16,580.64, 22,878.63 and 9,505.74 is: 13,116.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,580.64 : 22,878.63 = 9,505.74 : x
  2. Step 2: Convert to fraction form
    16,580.64/22,878.63 = 9,505.74/x
  3. Step 3: Cross multiply
    16,580.64x = 22,878.63 × 9,505.74
  4. Step 4: Simplify right side
    16,580.64x = 217,478,308.34
  5. Step 5: Solve for x
    x = 217,478,308.34/16,580.64
  6. Step 6: Final answer
    x = 13,116.40

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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.