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Finding the Fourth Proportional to 22,507.65, 31,059.05 and 12,435.98

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Solution

The fourth proportional to 22,507.65, 31,059.05 and 12,435.98 is: 17,160.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,507.65 : 31,059.05 = 12,435.98 : x
  2. Step 2: Convert to fraction form
    22,507.65/31,059.05 = 12,435.98/x
  3. Step 3: Cross multiply
    22,507.65x = 31,059.05 × 12,435.98
  4. Step 4: Simplify right side
    22,507.65x = 386,249,681.85
  5. Step 5: Solve for x
    x = 386,249,681.85/22,507.65
  6. Step 6: Final answer
    x = 17,160.82

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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.