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Finding the Fourth Proportional to 24,871.68, 34,322.88 and 14,264.16

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Solution

The fourth proportional to 24,871.68, 34,322.88 and 14,264.16 is: 19,684.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,871.68 : 34,322.88 = 14,264.16 : x
  2. Step 2: Convert to fraction form
    24,871.68/34,322.88 = 14,264.16/x
  3. Step 3: Cross multiply
    24,871.68x = 34,322.88 × 14,264.16
  4. Step 4: Simplify right side
    24,871.68x = 489,587,051.98
  5. Step 5: Solve for x
    x = 489,587,051.98/24,871.68
  6. Step 6: Final answer
    x = 19,684.52

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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.