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Finding the Fourth Proportional to 19,516.68, 29,276.51 and 9,653.31

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Solution

The fourth proportional to 19,516.68, 29,276.51 and 9,653.31 is: 14,480.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,516.68 : 29,276.51 = 9,653.31 : x
  2. Step 2: Convert to fraction form
    19,516.68/29,276.51 = 9,653.31/x
  3. Step 3: Cross multiply
    19,516.68x = 29,276.51 × 9,653.31
  4. Step 4: Simplify right side
    19,516.68x = 282,615,178.48
  5. Step 5: Solve for x
    x = 282,615,178.48/19,516.68
  6. Step 6: Final answer
    x = 14,480.70

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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.