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Finding the Fourth Proportional to 24,931.50, 34,402.77 and 14,322.66

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Solution

The fourth proportional to 24,931.50, 34,402.77 and 14,322.66 is: 19,763.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,931.50 : 34,402.77 = 14,322.66 : x
  2. Step 2: Convert to fraction form
    24,931.50/34,402.77 = 14,322.66/x
  3. Step 3: Cross multiply
    24,931.50x = 34,402.77 × 14,322.66
  4. Step 4: Simplify right side
    24,931.50x = 492,739,177.77
  5. Step 5: Solve for x
    x = 492,739,177.77/24,931.50
  6. Step 6: Final answer
    x = 19,763.72

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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.