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Finding the Fourth Proportional to 23,358.16, 32,242.08 and 14,401.72

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Solution

The fourth proportional to 23,358.16, 32,242.08 and 14,401.72 is: 19,879.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,358.16 : 32,242.08 = 14,401.72 : x
  2. Step 2: Convert to fraction form
    23,358.16/32,242.08 = 14,401.72/x
  3. Step 3: Cross multiply
    23,358.16x = 32,242.08 × 14,401.72
  4. Step 4: Simplify right side
    23,358.16x = 464,341,408.38
  5. Step 5: Solve for x
    x = 464,341,408.38/23,358.16
  6. Step 6: Final answer
    x = 19,879.19

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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.