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Finding the Fourth Proportional to 13,031.16, 17,985.48 and 8,782.22

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Solution

The fourth proportional to 13,031.16, 17,985.48 and 8,782.22 is: 12,121.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,031.16 : 17,985.48 = 8,782.22 : x
  2. Step 2: Convert to fraction form
    13,031.16/17,985.48 = 8,782.22/x
  3. Step 3: Cross multiply
    13,031.16x = 17,985.48 × 8,782.22
  4. Step 4: Simplify right side
    13,031.16x = 157,952,442.17
  5. Step 5: Solve for x
    x = 157,952,442.17/13,031.16
  6. Step 6: Final answer
    x = 12,121.13

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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.