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Finding the Fourth Proportional to 22,854.96, 34,339.95 and 14,538.69

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Solution

The fourth proportional to 22,854.96, 34,339.95 and 14,538.69 is: 21,844.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,854.96 : 34,339.95 = 14,538.69 : x
  2. Step 2: Convert to fraction form
    22,854.96/34,339.95 = 14,538.69/x
  3. Step 3: Cross multiply
    22,854.96x = 34,339.95 × 14,538.69
  4. Step 4: Simplify right side
    22,854.96x = 499,257,887.67
  5. Step 5: Solve for x
    x = 499,257,887.67/22,854.96
  6. Step 6: Final answer
    x = 21,844.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.