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Finding the Fourth Proportional to 26,354.85, 39,547.87 and 9,726.46

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Solution

The fourth proportional to 26,354.85, 39,547.87 and 9,726.46 is: 14,595.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,354.85 : 39,547.87 = 9,726.46 : x
  2. Step 2: Convert to fraction form
    26,354.85/39,547.87 = 9,726.46/x
  3. Step 3: Cross multiply
    26,354.85x = 39,547.87 × 9,726.46
  4. Step 4: Simplify right side
    26,354.85x = 384,660,775.64
  5. Step 5: Solve for x
    x = 384,660,775.64/26,354.85
  6. Step 6: Final answer
    x = 14,595.45

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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.