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Finding the Fourth Proportional to 12,434, 17,158.92 and 7,466

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Solution

The fourth proportional to 12,434, 17,158.92 and 7,466 is: 10,303.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,434 : 17,158.92 = 7,466 : x
  2. Step 2: Convert to fraction form
    12,434/17,158.92 = 7,466/x
  3. Step 3: Cross multiply
    12,434x = 17,158.92 × 7,466
  4. Step 4: Simplify right side
    12,434x = 128,108,496.72
  5. Step 5: Solve for x
    x = 128,108,496.72/12,434
  6. Step 6: Final answer
    x = 10,303.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.