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Finding the Fourth Proportional to 22,514.47, 31,068.98 and 12,953.95

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Solution

The fourth proportional to 22,514.47, 31,068.98 and 12,953.95 is: 17,875.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,514.47 : 31,068.98 = 12,953.95 : x
  2. Step 2: Convert to fraction form
    22,514.47/31,068.98 = 12,953.95/x
  3. Step 3: Cross multiply
    22,514.47x = 31,068.98 × 12,953.95
  4. Step 4: Simplify right side
    22,514.47x = 402,465,948.70
  5. Step 5: Solve for x
    x = 402,465,948.70/22,514.47
  6. Step 6: Final answer
    x = 17,875.88

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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.