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Finding the Fourth Proportional to 22,870.59, 31,562.38 and 14,141.15

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Solution

The fourth proportional to 22,870.59, 31,562.38 and 14,141.15 is: 19,515.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,870.59 : 31,562.38 = 14,141.15 : x
  2. Step 2: Convert to fraction form
    22,870.59/31,562.38 = 14,141.15/x
  3. Step 3: Cross multiply
    22,870.59x = 31,562.38 × 14,141.15
  4. Step 4: Simplify right side
    22,870.59x = 446,328,349.94
  5. Step 5: Solve for x
    x = 446,328,349.94/22,870.59
  6. Step 6: Final answer
    x = 19,515.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.