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Finding the Fourth Proportional to 23,264.08, 32,101.32 and 13,829.20

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Solution

The fourth proportional to 23,264.08, 32,101.32 and 13,829.20 is: 19,082.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,264.08 : 32,101.32 = 13,829.20 : x
  2. Step 2: Convert to fraction form
    23,264.08/32,101.32 = 13,829.20/x
  3. Step 3: Cross multiply
    23,264.08x = 32,101.32 × 13,829.20
  4. Step 4: Simplify right side
    23,264.08x = 443,935,574.54
  5. Step 5: Solve for x
    x = 443,935,574.54/23,264.08
  6. Step 6: Final answer
    x = 19,082.45

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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.