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Finding the Fourth Proportional to 15,606.86, 23,421.24 and 9,024

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Solution

The fourth proportional to 15,606.86, 23,421.24 and 9,024 is: 13,542.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,606.86 : 23,421.24 = 9,024 : x
  2. Step 2: Convert to fraction form
    15,606.86/23,421.24 = 9,024/x
  3. Step 3: Cross multiply
    15,606.86x = 23,421.24 × 9,024
  4. Step 4: Simplify right side
    15,606.86x = 211,353,269.76
  5. Step 5: Solve for x
    x = 211,353,269.76/15,606.86
  6. Step 6: Final answer
    x = 13,542.33

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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.