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Finding the Fourth Proportional to 14,867.48, 22,293.16 and 6,537.74

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Solution

The fourth proportional to 14,867.48, 22,293.16 and 6,537.74 is: 9,803.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,867.48 : 22,293.16 = 6,537.74 : x
  2. Step 2: Convert to fraction form
    14,867.48/22,293.16 = 6,537.74/x
  3. Step 3: Cross multiply
    14,867.48x = 22,293.16 × 6,537.74
  4. Step 4: Simplify right side
    14,867.48x = 145,746,756.05
  5. Step 5: Solve for x
    x = 145,746,756.05/14,867.48
  6. Step 6: Final answer
    x = 9,803.06

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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.