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Finding the Fourth Proportional to 15,024.71, 20,738.40 and 9,923.95

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Solution

The fourth proportional to 15,024.71, 20,738.40 and 9,923.95 is: 13,697.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,024.71 : 20,738.40 = 9,923.95 : x
  2. Step 2: Convert to fraction form
    15,024.71/20,738.40 = 9,923.95/x
  3. Step 3: Cross multiply
    15,024.71x = 20,738.40 × 9,923.95
  4. Step 4: Simplify right side
    15,024.71x = 205,806,740.99
  5. Step 5: Solve for x
    x = 205,806,740.99/15,024.71
  6. Step 6: Final answer
    x = 13,697.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.