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Finding the Fourth Proportional to 15,923.27, 21,973.65 and 9,117.06

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Solution

The fourth proportional to 15,923.27, 21,973.65 and 9,117.06 is: 12,581.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,923.27 : 21,973.65 = 9,117.06 : x
  2. Step 2: Convert to fraction form
    15,923.27/21,973.65 = 9,117.06/x
  3. Step 3: Cross multiply
    15,923.27x = 21,973.65 × 9,117.06
  4. Step 4: Simplify right side
    15,923.27x = 200,335,127.16
  5. Step 5: Solve for x
    x = 200,335,127.16/15,923.27
  6. Step 6: Final answer
    x = 12,581.28

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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.