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Finding the Fourth Proportional to 24,423, 33,703.76 and 13,245

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Solution

The fourth proportional to 24,423, 33,703.76 and 13,245 is: 18,278.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,423 : 33,703.76 = 13,245 : x
  2. Step 2: Convert to fraction form
    24,423/33,703.76 = 13,245/x
  3. Step 3: Cross multiply
    24,423x = 33,703.76 × 13,245
  4. Step 4: Simplify right side
    24,423x = 446,406,301.20
  5. Step 5: Solve for x
    x = 446,406,301.20/24,423
  6. Step 6: Final answer
    x = 18,278.11

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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.