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Finding the Fourth Proportional to 25,412.60, 35,068.43 and 14,657.92

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Solution

The fourth proportional to 25,412.60, 35,068.43 and 14,657.92 is: 20,227.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,412.60 : 35,068.43 = 14,657.92 : x
  2. Step 2: Convert to fraction form
    25,412.60/35,068.43 = 14,657.92/x
  3. Step 3: Cross multiply
    25,412.60x = 35,068.43 × 14,657.92
  4. Step 4: Simplify right side
    25,412.60x = 514,030,416.40
  5. Step 5: Solve for x
    x = 514,030,416.40/25,412.60
  6. Step 6: Final answer
    x = 20,227.39

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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.