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Finding the Fourth Proportional to 13,417.80, 20,126.70 and 10,307.40

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Solution

The fourth proportional to 13,417.80, 20,126.70 and 10,307.40 is: 15,461.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,417.80 : 20,126.70 = 10,307.40 : x
  2. Step 2: Convert to fraction form
    13,417.80/20,126.70 = 10,307.40/x
  3. Step 3: Cross multiply
    13,417.80x = 20,126.70 × 10,307.40
  4. Step 4: Simplify right side
    13,417.80x = 207,453,947.58
  5. Step 5: Solve for x
    x = 207,453,947.58/13,417.80
  6. Step 6: Final answer
    x = 15,461.10

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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.