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Finding the Fourth Proportional to 21,585.02, 32,369.02 and 10,488.42

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Solution

The fourth proportional to 21,585.02, 32,369.02 and 10,488.42 is: 15,728.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,585.02 : 32,369.02 = 10,488.42 : x
  2. Step 2: Convert to fraction form
    21,585.02/32,369.02 = 10,488.42/x
  3. Step 3: Cross multiply
    21,585.02x = 32,369.02 × 10,488.42
  4. Step 4: Simplify right side
    21,585.02x = 339,499,850.53
  5. Step 5: Solve for x
    x = 339,499,850.53/21,585.02
  6. Step 6: Final answer
    x = 15,728.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.