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Finding the Fourth Proportional to 14,842.86, 22,264.74 and 6,518.58

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Solution

The fourth proportional to 14,842.86, 22,264.74 and 6,518.58 is: 9,778.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,842.86 : 22,264.74 = 6,518.58 : x
  2. Step 2: Convert to fraction form
    14,842.86/22,264.74 = 6,518.58/x
  3. Step 3: Cross multiply
    14,842.86x = 22,264.74 × 6,518.58
  4. Step 4: Simplify right side
    14,842.86x = 145,134,488.87
  5. Step 5: Solve for x
    x = 145,134,488.87/14,842.86
  6. Step 6: Final answer
    x = 9,778.07

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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.