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Finding the Fourth Proportional to 25,210.86, 37,816.29 and 9,417.13

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Solution

The fourth proportional to 25,210.86, 37,816.29 and 9,417.13 is: 14,125.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,210.86 : 37,816.29 = 9,417.13 : x
  2. Step 2: Convert to fraction form
    25,210.86/37,816.29 = 9,417.13/x
  3. Step 3: Cross multiply
    25,210.86x = 37,816.29 × 9,417.13
  4. Step 4: Simplify right side
    25,210.86x = 356,120,919.05
  5. Step 5: Solve for x
    x = 356,120,919.05/25,210.86
  6. Step 6: Final answer
    x = 14,125.70

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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.