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Finding the Fourth Proportional to 16,143, 22,278.56 and 9,856.59

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Solution

The fourth proportional to 16,143, 22,278.56 and 9,856.59 is: 13,602.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,143 : 22,278.56 = 9,856.59 : x
  2. Step 2: Convert to fraction form
    16,143/22,278.56 = 9,856.59/x
  3. Step 3: Cross multiply
    16,143x = 22,278.56 × 9,856.59
  4. Step 4: Simplify right side
    16,143x = 219,590,631.71
  5. Step 5: Solve for x
    x = 219,590,631.71/16,143
  6. Step 6: Final answer
    x = 13,602.84

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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.