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Finding the Fourth Proportional to 21,524.52, 32,295.12 and 10,430.40

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Solution

The fourth proportional to 21,524.52, 32,295.12 and 10,430.40 is: 15,649.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,524.52 : 32,295.12 = 10,430.40 : x
  2. Step 2: Convert to fraction form
    21,524.52/32,295.12 = 10,430.40/x
  3. Step 3: Cross multiply
    21,524.52x = 32,295.12 × 10,430.40
  4. Step 4: Simplify right side
    21,524.52x = 336,851,019.65
  5. Step 5: Solve for x
    x = 336,851,019.65/21,524.52
  6. Step 6: Final answer
    x = 15,649.64

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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.