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Finding the Fourth Proportional to 15,802.26, 23,709.76 and 7,031.16

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Solution

The fourth proportional to 15,802.26, 23,709.76 and 7,031.16 is: 10,549.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,802.26 : 23,709.76 = 7,031.16 : x
  2. Step 2: Convert to fraction form
    15,802.26/23,709.76 = 7,031.16/x
  3. Step 3: Cross multiply
    15,802.26x = 23,709.76 × 7,031.16
  4. Step 4: Simplify right side
    15,802.26x = 166,707,116.12
  5. Step 5: Solve for x
    x = 166,707,116.12/15,802.26
  6. Step 6: Final answer
    x = 10,549.57

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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.