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Finding the Fourth Proportional to 13,670.87, 18,864.33 and 7,702.47

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Solution

The fourth proportional to 13,670.87, 18,864.33 and 7,702.47 is: 10,628.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,670.87 : 18,864.33 = 7,702.47 : x
  2. Step 2: Convert to fraction form
    13,670.87/18,864.33 = 7,702.47/x
  3. Step 3: Cross multiply
    13,670.87x = 18,864.33 × 7,702.47
  4. Step 4: Simplify right side
    13,670.87x = 145,301,935.90
  5. Step 5: Solve for x
    x = 145,301,935.90/13,670.87
  6. Step 6: Final answer
    x = 10,628.58

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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.