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Finding the Fourth Proportional to 23,653.65, 35,494.25 and 13,132.47

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Solution

The fourth proportional to 23,653.65, 35,494.25 and 13,132.47 is: 19,706.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,653.65 : 35,494.25 = 13,132.47 : x
  2. Step 2: Convert to fraction form
    23,653.65/35,494.25 = 13,132.47/x
  3. Step 3: Cross multiply
    23,653.65x = 35,494.25 × 13,132.47
  4. Step 4: Simplify right side
    23,653.65x = 466,127,107.64
  5. Step 5: Solve for x
    x = 466,127,107.64/23,653.65
  6. Step 6: Final answer
    x = 19,706.35

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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.