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Finding the Fourth Proportional to 24,684.49, 37,021.02 and 6,916.40

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Solution

The fourth proportional to 24,684.49, 37,021.02 and 6,916.40 is: 10,373.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,684.49 : 37,021.02 = 6,916.40 : x
  2. Step 2: Convert to fraction form
    24,684.49/37,021.02 = 6,916.40/x
  3. Step 3: Cross multiply
    24,684.49x = 37,021.02 × 6,916.40
  4. Step 4: Simplify right side
    24,684.49x = 256,052,110.52
  5. Step 5: Solve for x
    x = 256,052,110.52/24,684.49
  6. Step 6: Final answer
    x = 10,373.00

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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.