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Finding the Fourth Proportional to 17,657.76, 24,366.72 and 10,580.64

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Solution

The fourth proportional to 17,657.76, 24,366.72 and 10,580.64 is: 14,600.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,657.76 : 24,366.72 = 10,580.64 : x
  2. Step 2: Convert to fraction form
    17,657.76/24,366.72 = 10,580.64/x
  3. Step 3: Cross multiply
    17,657.76x = 24,366.72 × 10,580.64
  4. Step 4: Simplify right side
    17,657.76x = 257,815,492.30
  5. Step 5: Solve for x
    x = 257,815,492.30/17,657.76
  6. Step 6: Final answer
    x = 14,600.69

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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.