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Finding the Fourth Proportional to 14,416, 21,632.40 and 6,095.52

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Solution

The fourth proportional to 14,416, 21,632.40 and 6,095.52 is: 9,146.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,416 : 21,632.40 = 6,095.52 : x
  2. Step 2: Convert to fraction form
    14,416/21,632.40 = 6,095.52/x
  3. Step 3: Cross multiply
    14,416x = 21,632.40 × 6,095.52
  4. Step 4: Simplify right side
    14,416x = 131,860,726.85
  5. Step 5: Solve for x
    x = 131,860,726.85/14,416
  6. Step 6: Final answer
    x = 9,146.83

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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.