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Finding the Fourth Proportional to 25,097.04, 37,648.96 and 14,572

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Solution

The fourth proportional to 25,097.04, 37,648.96 and 14,572 is: 21,859.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,097.04 : 37,648.96 = 14,572 : x
  2. Step 2: Convert to fraction form
    25,097.04/37,648.96 = 14,572/x
  3. Step 3: Cross multiply
    25,097.04x = 37,648.96 × 14,572
  4. Step 4: Simplify right side
    25,097.04x = 548,620,645.12
  5. Step 5: Solve for x
    x = 548,620,645.12/25,097.04
  6. Step 6: Final answer
    x = 21,859.97

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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.