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Finding the Fourth Proportional to 13,038.40, 18,219.20 and 13,038.40

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Solution

The fourth proportional to 13,038.40, 18,219.20 and 13,038.40 is: 18,219.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,038.40 : 18,219.20 = 13,038.40 : x
  2. Step 2: Convert to fraction form
    13,038.40/18,219.20 = 13,038.40/x
  3. Step 3: Cross multiply
    13,038.40x = 18,219.20 × 13,038.40
  4. Step 4: Simplify right side
    13,038.40x = 237,549,217.28
  5. Step 5: Solve for x
    x = 237,549,217.28/13,038.40
  6. Step 6: Final answer
    x = 18,219.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.