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Finding the Fourth Proportional to 15,801.90, 23,686.65 and 9,224.70

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Solution

The fourth proportional to 15,801.90, 23,686.65 and 9,224.70 is: 13,827.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,801.90 : 23,686.65 = 9,224.70 : x
  2. Step 2: Convert to fraction form
    15,801.90/23,686.65 = 9,224.70/x
  3. Step 3: Cross multiply
    15,801.90x = 23,686.65 × 9,224.70
  4. Step 4: Simplify right side
    15,801.90x = 218,502,240.26
  5. Step 5: Solve for x
    x = 218,502,240.26/15,801.90
  6. Step 6: Final answer
    x = 13,827.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.