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Finding the Fourth Proportional to 13,031.71, 19,547.57 and 3,170.99

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Solution

The fourth proportional to 13,031.71, 19,547.57 and 3,170.99 is: 4,756.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,031.71 : 19,547.57 = 3,170.99 : x
  2. Step 2: Convert to fraction form
    13,031.71/19,547.57 = 3,170.99/x
  3. Step 3: Cross multiply
    13,031.71x = 19,547.57 × 3,170.99
  4. Step 4: Simplify right side
    13,031.71x = 61,985,133.14
  5. Step 5: Solve for x
    x = 61,985,133.14/13,031.71
  6. Step 6: Final answer
    x = 4,756.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.