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Finding the Fourth Proportional to 14,301.47, 19,734.95 and 8,012.63

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Solution

The fourth proportional to 14,301.47, 19,734.95 and 8,012.63 is: 11,056.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,301.47 : 19,734.95 = 8,012.63 : x
  2. Step 2: Convert to fraction form
    14,301.47/19,734.95 = 8,012.63/x
  3. Step 3: Cross multiply
    14,301.47x = 19,734.95 × 8,012.63
  4. Step 4: Simplify right side
    14,301.47x = 158,128,713.68
  5. Step 5: Solve for x
    x = 158,128,713.68/14,301.47
  6. Step 6: Final answer
    x = 11,056.82

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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.