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Finding the Fourth Proportional to 13,806.40, 20,709.60 and 5,038.40

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Solution

The fourth proportional to 13,806.40, 20,709.60 and 5,038.40 is: 7,557.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,806.40 : 20,709.60 = 5,038.40 : x
  2. Step 2: Convert to fraction form
    13,806.40/20,709.60 = 5,038.40/x
  3. Step 3: Cross multiply
    13,806.40x = 20,709.60 × 5,038.40
  4. Step 4: Simplify right side
    13,806.40x = 104,343,248.64
  5. Step 5: Solve for x
    x = 104,343,248.64/13,806.40
  6. Step 6: Final answer
    x = 7,557.60

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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.