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Finding the Fourth Proportional to 21,924.88, 32,864.64 and 10,228.48

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Solution

The fourth proportional to 21,924.88, 32,864.64 and 10,228.48 is: 15,332.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,924.88 : 32,864.64 = 10,228.48 : x
  2. Step 2: Convert to fraction form
    21,924.88/32,864.64 = 10,228.48/x
  3. Step 3: Cross multiply
    21,924.88x = 32,864.64 × 10,228.48
  4. Step 4: Simplify right side
    21,924.88x = 336,155,312.95
  5. Step 5: Solve for x
    x = 336,155,312.95/21,924.88
  6. Step 6: Final answer
    x = 15,332.14

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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.