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Finding the Fourth Proportional to 13,670.12, 18,864.54 and 7,702.36

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Solution

The fourth proportional to 13,670.12, 18,864.54 and 7,702.36 is: 10,629.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,670.12 : 18,864.54 = 7,702.36 : x
  2. Step 2: Convert to fraction form
    13,670.12/18,864.54 = 7,702.36/x
  3. Step 3: Cross multiply
    13,670.12x = 18,864.54 × 7,702.36
  4. Step 4: Simplify right side
    13,670.12x = 145,301,478.31
  5. Step 5: Solve for x
    x = 145,301,478.31/13,670.12
  6. Step 6: Final answer
    x = 10,629.13

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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.