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Finding the Fourth Proportional to 22,519.80, 31,089.76 and 13,569.50

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Solution

The fourth proportional to 22,519.80, 31,089.76 and 13,569.50 is: 18,733.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,519.80 : 31,089.76 = 13,569.50 : x
  2. Step 2: Convert to fraction form
    22,519.80/31,089.76 = 13,569.50/x
  3. Step 3: Cross multiply
    22,519.80x = 31,089.76 × 13,569.50
  4. Step 4: Simplify right side
    22,519.80x = 421,872,498.32
  5. Step 5: Solve for x
    x = 421,872,498.32/22,519.80
  6. Step 6: Final answer
    x = 18,733.40

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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.