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Finding the Fourth Proportional to 22,686.34, 31,298.86 and 13,730.58

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Solution

The fourth proportional to 22,686.34, 31,298.86 and 13,730.58 is: 18,943.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,686.34 : 31,298.86 = 13,730.58 : x
  2. Step 2: Convert to fraction form
    22,686.34/31,298.86 = 13,730.58/x
  3. Step 3: Cross multiply
    22,686.34x = 31,298.86 × 13,730.58
  4. Step 4: Simplify right side
    22,686.34x = 429,751,501.14
  5. Step 5: Solve for x
    x = 429,751,501.14/22,686.34
  6. Step 6: Final answer
    x = 18,943.18

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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.