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Finding the Fourth Proportional to 13,916.48, 20,868.48 and 10,004.52

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Solution

The fourth proportional to 13,916.48, 20,868.48 and 10,004.52 is: 15,002.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,916.48 : 20,868.48 = 10,004.52 : x
  2. Step 2: Convert to fraction form
    13,916.48/20,868.48 = 10,004.52/x
  3. Step 3: Cross multiply
    13,916.48x = 20,868.48 × 10,004.52
  4. Step 4: Simplify right side
    13,916.48x = 208,779,125.53
  5. Step 5: Solve for x
    x = 208,779,125.53/13,916.48
  6. Step 6: Final answer
    x = 15,002.29

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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.