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Finding the Fourth Proportional to 13,031.68, 19,547.84 and 4,266.24

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Solution

The fourth proportional to 13,031.68, 19,547.84 and 4,266.24 is: 6,399.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,031.68 : 19,547.84 = 4,266.24 : x
  2. Step 2: Convert to fraction form
    13,031.68/19,547.84 = 4,266.24/x
  3. Step 3: Cross multiply
    13,031.68x = 19,547.84 × 4,266.24
  4. Step 4: Simplify right side
    13,031.68x = 83,395,776.92
  5. Step 5: Solve for x
    x = 83,395,776.92/13,031.68
  6. Step 6: Final answer
    x = 6,399.46

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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.