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Finding the Fourth Proportional to 14,856.48, 20,497.86 and 9,188.51

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Solution

The fourth proportional to 14,856.48, 20,497.86 and 9,188.51 is: 12,677.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,856.48 : 20,497.86 = 9,188.51 : x
  2. Step 2: Convert to fraction form
    14,856.48/20,497.86 = 9,188.51/x
  3. Step 3: Cross multiply
    14,856.48x = 20,497.86 × 9,188.51
  4. Step 4: Simplify right side
    14,856.48x = 188,344,689.10
  5. Step 5: Solve for x
    x = 188,344,689.10/14,856.48
  6. Step 6: Final answer
    x = 12,677.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.