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Finding the Fourth Proportional to 14,253.68, 19,670.03 and 7,966.06

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Solution

The fourth proportional to 14,253.68, 19,670.03 and 7,966.06 is: 10,993.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,253.68 : 19,670.03 = 7,966.06 : x
  2. Step 2: Convert to fraction form
    14,253.68/19,670.03 = 7,966.06/x
  3. Step 3: Cross multiply
    14,253.68x = 19,670.03 × 7,966.06
  4. Step 4: Simplify right side
    14,253.68x = 156,692,639.18
  5. Step 5: Solve for x
    x = 156,692,639.18/14,253.68
  6. Step 6: Final answer
    x = 10,993.14

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Why These Related Problems?

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