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Finding the Fourth Proportional to 16,456.54, 24,686.16 and 6,590.44

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Solution

The fourth proportional to 16,456.54, 24,686.16 and 6,590.44 is: 9,886.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,456.54 : 24,686.16 = 6,590.44 : x
  2. Step 2: Convert to fraction form
    16,456.54/24,686.16 = 6,590.44/x
  3. Step 3: Cross multiply
    16,456.54x = 24,686.16 × 6,590.44
  4. Step 4: Simplify right side
    16,456.54x = 162,692,656.31
  5. Step 5: Solve for x
    x = 162,692,656.31/16,456.54
  6. Step 6: Final answer
    x = 9,886.20

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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.