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Finding the Fourth Proportional to 24,733.50, 37,111.05 and 9,146.94

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Solution

The fourth proportional to 24,733.50, 37,111.05 and 9,146.94 is: 13,724.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,733.50 : 37,111.05 = 9,146.94 : x
  2. Step 2: Convert to fraction form
    24,733.50/37,111.05 = 9,146.94/x
  3. Step 3: Cross multiply
    24,733.50x = 37,111.05 × 9,146.94
  4. Step 4: Simplify right side
    24,733.50x = 339,452,547.69
  5. Step 5: Solve for x
    x = 339,452,547.69/24,733.50
  6. Step 6: Final answer
    x = 13,724.40

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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.