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Finding the Fourth Proportional to 14,688.25, 22,039.47 and 9,140.15

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Solution

The fourth proportional to 14,688.25, 22,039.47 and 9,140.15 is: 13,714.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,688.25 : 22,039.47 = 9,140.15 : x
  2. Step 2: Convert to fraction form
    14,688.25/22,039.47 = 9,140.15/x
  3. Step 3: Cross multiply
    14,688.25x = 22,039.47 × 9,140.15
  4. Step 4: Simplify right side
    14,688.25x = 201,444,116.82
  5. Step 5: Solve for x
    x = 201,444,116.82/14,688.25
  6. Step 6: Final answer
    x = 13,714.65

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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.