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Finding the Fourth Proportional to 13,232.57, 18,260.42 and 7,567.02

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Solution

The fourth proportional to 13,232.57, 18,260.42 and 7,567.02 is: 10,442.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,232.57 : 18,260.42 = 7,567.02 : x
  2. Step 2: Convert to fraction form
    13,232.57/18,260.42 = 7,567.02/x
  3. Step 3: Cross multiply
    13,232.57x = 18,260.42 × 7,567.02
  4. Step 4: Simplify right side
    13,232.57x = 138,176,925.51
  5. Step 5: Solve for x
    x = 138,176,925.51/13,232.57
  6. Step 6: Final answer
    x = 10,442.19

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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.