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Finding the Fourth Proportional to 25,162.56, 37,714.32 and 13,484.16

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Solution

The fourth proportional to 25,162.56, 37,714.32 and 13,484.16 is: 20,210.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,162.56 : 37,714.32 = 13,484.16 : x
  2. Step 2: Convert to fraction form
    25,162.56/37,714.32 = 13,484.16/x
  3. Step 3: Cross multiply
    25,162.56x = 37,714.32 × 13,484.16
  4. Step 4: Simplify right side
    25,162.56x = 508,545,925.17
  5. Step 5: Solve for x
    x = 508,545,925.17/25,162.56
  6. Step 6: Final answer
    x = 20,210.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.