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Finding the Fourth Proportional to 13,031.68, 19,530.24 and 9,552.64

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Solution

The fourth proportional to 13,031.68, 19,530.24 and 9,552.64 is: 14,316.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,031.68 : 19,530.24 = 9,552.64 : x
  2. Step 2: Convert to fraction form
    13,031.68/19,530.24 = 9,552.64/x
  3. Step 3: Cross multiply
    13,031.68x = 19,530.24 × 9,552.64
  4. Step 4: Simplify right side
    13,031.68x = 186,565,351.83
  5. Step 5: Solve for x
    x = 186,565,351.83/13,031.68
  6. Step 6: Final answer
    x = 14,316.29

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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.