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Finding the Fourth Proportional to 24,611, 36,916.77 and 6,143

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Solution

The fourth proportional to 24,611, 36,916.77 and 6,143 is: 9,214.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,611 : 36,916.77 = 6,143 : x
  2. Step 2: Convert to fraction form
    24,611/36,916.77 = 6,143/x
  3. Step 3: Cross multiply
    24,611x = 36,916.77 × 6,143
  4. Step 4: Simplify right side
    24,611x = 226,779,718.11
  5. Step 5: Solve for x
    x = 226,779,718.11/24,611
  6. Step 6: Final answer
    x = 9,214.57

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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.