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Finding the Fourth Proportional to 21,458.66, 32,146.47 and 12,070.15

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Solution

The fourth proportional to 21,458.66, 32,146.47 and 12,070.15 is: 18,081.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,458.66 : 32,146.47 = 12,070.15 : x
  2. Step 2: Convert to fraction form
    21,458.66/32,146.47 = 12,070.15/x
  3. Step 3: Cross multiply
    21,458.66x = 32,146.47 × 12,070.15
  4. Step 4: Simplify right side
    21,458.66x = 388,012,634.50
  5. Step 5: Solve for x
    x = 388,012,634.50/21,458.66
  6. Step 6: Final answer
    x = 18,081.87

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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.