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Finding the Fourth Proportional to 24,539.87, 33,861.06 and 13,784.23

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Solution

The fourth proportional to 24,539.87, 33,861.06 and 13,784.23 is: 19,020.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,539.87 : 33,861.06 = 13,784.23 : x
  2. Step 2: Convert to fraction form
    24,539.87/33,861.06 = 13,784.23/x
  3. Step 3: Cross multiply
    24,539.87x = 33,861.06 × 13,784.23
  4. Step 4: Simplify right side
    24,539.87x = 466,748,681.41
  5. Step 5: Solve for x
    x = 466,748,681.41/24,539.87
  6. Step 6: Final answer
    x = 19,020.01

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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.