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Finding the Fourth Proportional to 24,465.16, 36,693.42 and 9,669.16

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Solution

The fourth proportional to 24,465.16, 36,693.42 and 9,669.16 is: 14,502.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,465.16 : 36,693.42 = 9,669.16 : x
  2. Step 2: Convert to fraction form
    24,465.16/36,693.42 = 9,669.16/x
  3. Step 3: Cross multiply
    24,465.16x = 36,693.42 × 9,669.16
  4. Step 4: Simplify right side
    24,465.16x = 354,794,548.93
  5. Step 5: Solve for x
    x = 354,794,548.93/24,465.16
  6. Step 6: Final answer
    x = 14,502.03

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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.