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Finding the Fourth Proportional to 24,699, 34,088.94 and 14,763

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Solution

The fourth proportional to 24,699, 34,088.94 and 14,763 is: 20,375.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,699 : 34,088.94 = 14,763 : x
  2. Step 2: Convert to fraction form
    24,699/34,088.94 = 14,763/x
  3. Step 3: Cross multiply
    24,699x = 34,088.94 × 14,763
  4. Step 4: Simplify right side
    24,699x = 503,255,021.22
  5. Step 5: Solve for x
    x = 503,255,021.22/24,699
  6. Step 6: Final answer
    x = 20,375.52

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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.