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Finding the Fourth Proportional to 12,888.20, 19,293.24 and 11,656.16

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Solution

The fourth proportional to 12,888.20, 19,293.24 and 11,656.16 is: 17,448.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,888.20 : 19,293.24 = 11,656.16 : x
  2. Step 2: Convert to fraction form
    12,888.20/19,293.24 = 11,656.16/x
  3. Step 3: Cross multiply
    12,888.20x = 19,293.24 × 11,656.16
  4. Step 4: Simplify right side
    12,888.20x = 224,885,092.36
  5. Step 5: Solve for x
    x = 224,885,092.36/12,888.20
  6. Step 6: Final answer
    x = 17,448.91

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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.