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Finding the Fourth Proportional to 13,031.98, 19,547.48 and 3,797.74

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Solution

The fourth proportional to 13,031.98, 19,547.48 and 3,797.74 is: 5,696.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,031.98 : 19,547.48 = 3,797.74 : x
  2. Step 2: Convert to fraction form
    13,031.98/19,547.48 = 3,797.74/x
  3. Step 3: Cross multiply
    13,031.98x = 19,547.48 × 3,797.74
  4. Step 4: Simplify right side
    13,031.98x = 74,236,246.70
  5. Step 5: Solve for x
    x = 74,236,246.70/13,031.98
  6. Step 6: Final answer
    x = 5,696.47

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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.