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Finding the Fourth Proportional to 21,760.64, 30,029.10 and 12,332.24

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Solution

The fourth proportional to 21,760.64, 30,029.10 and 12,332.24 is: 17,018.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,760.64 : 30,029.10 = 12,332.24 : x
  2. Step 2: Convert to fraction form
    21,760.64/30,029.10 = 12,332.24/x
  3. Step 3: Cross multiply
    21,760.64x = 30,029.10 × 12,332.24
  4. Step 4: Simplify right side
    21,760.64x = 370,326,068.18
  5. Step 5: Solve for x
    x = 370,326,068.18/21,760.64
  6. Step 6: Final answer
    x = 17,018.16

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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.