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Finding the Fourth Proportional to 27,802.64, 38,385.33 and 18,259.46

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Solution

The fourth proportional to 27,802.64, 38,385.33 and 18,259.46 is: 25,209.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,802.64 : 38,385.33 = 18,259.46 : x
  2. Step 2: Convert to fraction form
    27,802.64/38,385.33 = 18,259.46/x
  3. Step 3: Cross multiply
    27,802.64x = 38,385.33 × 18,259.46
  4. Step 4: Simplify right side
    27,802.64x = 700,895,281.27
  5. Step 5: Solve for x
    x = 700,895,281.27/27,802.64
  6. Step 6: Final answer
    x = 25,209.66

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