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Finding the Fourth Proportional to 12,991.52, 17,925.12 and 7,684.16

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Solution

The fourth proportional to 12,991.52, 17,925.12 and 7,684.16 is: 10,602.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,991.52 : 17,925.12 = 7,684.16 : x
  2. Step 2: Convert to fraction form
    12,991.52/17,925.12 = 7,684.16/x
  3. Step 3: Cross multiply
    12,991.52x = 17,925.12 × 7,684.16
  4. Step 4: Simplify right side
    12,991.52x = 137,739,490.10
  5. Step 5: Solve for x
    x = 137,739,490.10/12,991.52
  6. Step 6: Final answer
    x = 10,602.26

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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.