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Finding the Fourth Proportional to 21,031.57, 31,531.69 and 9,931.93

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Solution

The fourth proportional to 21,031.57, 31,531.69 and 9,931.93 is: 14,890.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,031.57 : 31,531.69 = 9,931.93 : x
  2. Step 2: Convert to fraction form
    21,031.57/31,531.69 = 9,931.93/x
  3. Step 3: Cross multiply
    21,031.57x = 31,531.69 × 9,931.93
  4. Step 4: Simplify right side
    21,031.57x = 313,170,537.86
  5. Step 5: Solve for x
    x = 313,170,537.86/21,031.57
  6. Step 6: Final answer
    x = 14,890.50

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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.