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Finding the Fourth Proportional to 19,731.48, 27,230.03 and 10,779.40

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Solution

The fourth proportional to 19,731.48, 27,230.03 and 10,779.40 is: 14,875.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,731.48 : 27,230.03 = 10,779.40 : x
  2. Step 2: Convert to fraction form
    19,731.48/27,230.03 = 10,779.40/x
  3. Step 3: Cross multiply
    19,731.48x = 27,230.03 × 10,779.40
  4. Step 4: Simplify right side
    19,731.48x = 293,523,385.38
  5. Step 5: Solve for x
    x = 293,523,385.38/19,731.48
  6. Step 6: Final answer
    x = 14,875.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.