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Finding the Fourth Proportional to 12,534.40, 18,815.28 and 9,237.28

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Solution

The fourth proportional to 12,534.40, 18,815.28 and 9,237.28 is: 13,866.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,534.40 : 18,815.28 = 9,237.28 : x
  2. Step 2: Convert to fraction form
    12,534.40/18,815.28 = 9,237.28/x
  3. Step 3: Cross multiply
    12,534.40x = 18,815.28 × 9,237.28
  4. Step 4: Simplify right side
    12,534.40x = 173,802,009.64
  5. Step 5: Solve for x
    x = 173,802,009.64/12,534.40
  6. Step 6: Final answer
    x = 13,866.00

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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.