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Finding the Fourth Proportional to 24,312.98, 36,451.55 and 9,514.28

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Solution

The fourth proportional to 24,312.98, 36,451.55 and 9,514.28 is: 14,264.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,312.98 : 36,451.55 = 9,514.28 : x
  2. Step 2: Convert to fraction form
    24,312.98/36,451.55 = 9,514.28/x
  3. Step 3: Cross multiply
    24,312.98x = 36,451.55 × 9,514.28
  4. Step 4: Simplify right side
    24,312.98x = 346,810,368.05
  5. Step 5: Solve for x
    x = 346,810,368.05/24,312.98
  6. Step 6: Final answer
    x = 14,264.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.