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Finding the Fourth Proportional to 15,302.06, 22,931.21 and 8,714.63

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Solution

The fourth proportional to 15,302.06, 22,931.21 and 8,714.63 is: 13,059.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,302.06 : 22,931.21 = 8,714.63 : x
  2. Step 2: Convert to fraction form
    15,302.06/22,931.21 = 8,714.63/x
  3. Step 3: Cross multiply
    15,302.06x = 22,931.21 × 8,714.63
  4. Step 4: Simplify right side
    15,302.06x = 199,837,003.72
  5. Step 5: Solve for x
    x = 199,837,003.72/15,302.06
  6. Step 6: Final answer
    x = 13,059.49

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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.