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Finding the Fourth Proportional to 24,501.87, 33,811.23 and 14,428.02

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Solution

The fourth proportional to 24,501.87, 33,811.23 and 14,428.02 is: 19,909.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,501.87 : 33,811.23 = 14,428.02 : x
  2. Step 2: Convert to fraction form
    24,501.87/33,811.23 = 14,428.02/x
  3. Step 3: Cross multiply
    24,501.87x = 33,811.23 × 14,428.02
  4. Step 4: Simplify right side
    24,501.87x = 487,829,102.66
  5. Step 5: Solve for x
    x = 487,829,102.66/24,501.87
  6. Step 6: Final answer
    x = 19,909.87

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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.