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Finding the Fourth Proportional to 25,402, 35,056.86 and 14,792.32

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Solution

The fourth proportional to 25,402, 35,056.86 and 14,792.32 is: 20,414.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,402 : 35,056.86 = 14,792.32 : x
  2. Step 2: Convert to fraction form
    25,402/35,056.86 = 14,792.32/x
  3. Step 3: Cross multiply
    25,402x = 35,056.86 × 14,792.32
  4. Step 4: Simplify right side
    25,402x = 518,572,291.32
  5. Step 5: Solve for x
    x = 518,572,291.32/25,402
  6. Step 6: Final answer
    x = 20,414.62

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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.