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Finding the Fourth Proportional to 13,105.80, 19,627.41 and 7,547.48

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Solution

The fourth proportional to 13,105.80, 19,627.41 and 7,547.48 is: 11,303.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,105.80 : 19,627.41 = 7,547.48 : x
  2. Step 2: Convert to fraction form
    13,105.80/19,627.41 = 7,547.48/x
  3. Step 3: Cross multiply
    13,105.80x = 19,627.41 × 7,547.48
  4. Step 4: Simplify right side
    13,105.80x = 148,137,488.20
  5. Step 5: Solve for x
    x = 148,137,488.20/13,105.80
  6. Step 6: Final answer
    x = 11,303.20

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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.