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Finding the Fourth Proportional to 16,278.40, 22,460.88 and 9,565.12

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Solution

The fourth proportional to 16,278.40, 22,460.88 and 9,565.12 is: 13,197.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,278.40 : 22,460.88 = 9,565.12 : x
  2. Step 2: Convert to fraction form
    16,278.40/22,460.88 = 9,565.12/x
  3. Step 3: Cross multiply
    16,278.40x = 22,460.88 × 9,565.12
  4. Step 4: Simplify right side
    16,278.40x = 214,841,012.51
  5. Step 5: Solve for x
    x = 214,841,012.51/16,278.40
  6. Step 6: Final answer
    x = 13,197.92

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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.