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Finding the Fourth Proportional to 21,332.34, 32,004.54 and 7,295.40

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Solution

The fourth proportional to 21,332.34, 32,004.54 and 7,295.40 is: 10,945.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,332.34 : 32,004.54 = 7,295.40 : x
  2. Step 2: Convert to fraction form
    21,332.34/32,004.54 = 7,295.40/x
  3. Step 3: Cross multiply
    21,332.34x = 32,004.54 × 7,295.40
  4. Step 4: Simplify right side
    21,332.34x = 233,485,921.12
  5. Step 5: Solve for x
    x = 233,485,921.12/21,332.34
  6. Step 6: Final answer
    x = 10,945.16

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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.