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Finding the Fourth Proportional to 16,565, 22,868.16 and 12,779.66

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Solution

The fourth proportional to 16,565, 22,868.16 and 12,779.66 is: 17,642.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,565 : 22,868.16 = 12,779.66 : x
  2. Step 2: Convert to fraction form
    16,565/22,868.16 = 12,779.66/x
  3. Step 3: Cross multiply
    16,565x = 22,868.16 × 12,779.66
  4. Step 4: Simplify right side
    16,565x = 292,247,309.63
  5. Step 5: Solve for x
    x = 292,247,309.63/16,565
  6. Step 6: Final answer
    x = 17,642.46

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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.