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Finding the Fourth Proportional to 19,842.66, 29,731.14 and 9,961.08

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Solution

The fourth proportional to 19,842.66, 29,731.14 and 9,961.08 is: 14,925.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,842.66 : 29,731.14 = 9,961.08 : x
  2. Step 2: Convert to fraction form
    19,842.66/29,731.14 = 9,961.08/x
  3. Step 3: Cross multiply
    19,842.66x = 29,731.14 × 9,961.08
  4. Step 4: Simplify right side
    19,842.66x = 296,154,264.03
  5. Step 5: Solve for x
    x = 296,154,264.03/19,842.66
  6. Step 6: Final answer
    x = 14,925.13

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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.