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Finding the Fourth Proportional to 24,854.58, 34,288.02 and 14,777.30

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Solution

The fourth proportional to 24,854.58, 34,288.02 and 14,777.30 is: 20,385.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,854.58 : 34,288.02 = 14,777.30 : x
  2. Step 2: Convert to fraction form
    24,854.58/34,288.02 = 14,777.30/x
  3. Step 3: Cross multiply
    24,854.58x = 34,288.02 × 14,777.30
  4. Step 4: Simplify right side
    24,854.58x = 506,684,186.51
  5. Step 5: Solve for x
    x = 506,684,186.51/24,854.58
  6. Step 6: Final answer
    x = 20,385.95

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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.