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Finding the Fourth Proportional to 19,714.64, 29,583.48 and 9,335.12

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Solution

The fourth proportional to 19,714.64, 29,583.48 and 9,335.12 is: 14,008.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,714.64 : 29,583.48 = 9,335.12 : x
  2. Step 2: Convert to fraction form
    19,714.64/29,583.48 = 9,335.12/x
  3. Step 3: Cross multiply
    19,714.64x = 29,583.48 × 9,335.12
  4. Step 4: Simplify right side
    19,714.64x = 276,165,335.82
  5. Step 5: Solve for x
    x = 276,165,335.82/19,714.64
  6. Step 6: Final answer
    x = 14,008.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.