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Finding the Fourth Proportional to 17,802.88, 26,686.84 and 9,909.17

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Solution

The fourth proportional to 17,802.88, 26,686.84 and 9,909.17 is: 14,854.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,802.88 : 26,686.84 = 9,909.17 : x
  2. Step 2: Convert to fraction form
    17,802.88/26,686.84 = 9,909.17/x
  3. Step 3: Cross multiply
    17,802.88x = 26,686.84 × 9,909.17
  4. Step 4: Simplify right side
    17,802.88x = 264,444,434.32
  5. Step 5: Solve for x
    x = 264,444,434.32/17,802.88
  6. Step 6: Final answer
    x = 14,854.03

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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.