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Finding the Fourth Proportional to 15,648, 21,594.24 and 9,024

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Solution

The fourth proportional to 15,648, 21,594.24 and 9,024 is: 12,453.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,648 : 21,594.24 = 9,024 : x
  2. Step 2: Convert to fraction form
    15,648/21,594.24 = 9,024/x
  3. Step 3: Cross multiply
    15,648x = 21,594.24 × 9,024
  4. Step 4: Simplify right side
    15,648x = 194,866,421.76
  5. Step 5: Solve for x
    x = 194,866,421.76/15,648
  6. Step 6: Final answer
    x = 12,453.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.