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Finding the Fourth Proportional to 19,827.59, 29,731.71 and 9,820.76

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Solution

The fourth proportional to 19,827.59, 29,731.71 and 9,820.76 is: 14,726.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,827.59 : 29,731.71 = 9,820.76 : x
  2. Step 2: Convert to fraction form
    19,827.59/29,731.71 = 9,820.76/x
  3. Step 3: Cross multiply
    19,827.59x = 29,731.71 × 9,820.76
  4. Step 4: Simplify right side
    19,827.59x = 291,987,988.30
  5. Step 5: Solve for x
    x = 291,987,988.30/19,827.59
  6. Step 6: Final answer
    x = 14,726.35

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