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Finding the Fourth Proportional to 16,590.96, 24,867 and 7,823.52

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Solution

The fourth proportional to 16,590.96, 24,867 and 7,823.52 is: 11,726.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,590.96 : 24,867 = 7,823.52 : x
  2. Step 2: Convert to fraction form
    16,590.96/24,867 = 7,823.52/x
  3. Step 3: Cross multiply
    16,590.96x = 24,867 × 7,823.52
  4. Step 4: Simplify right side
    16,590.96x = 194,547,471.84
  5. Step 5: Solve for x
    x = 194,547,471.84/16,590.96
  6. Step 6: Final answer
    x = 11,726.11

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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.