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Finding the Fourth Proportional to 14,154.80, 19,533.08 and 7,867.58

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Solution

The fourth proportional to 14,154.80, 19,533.08 and 7,867.58 is: 10,856.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,154.80 : 19,533.08 = 7,867.58 : x
  2. Step 2: Convert to fraction form
    14,154.80/19,533.08 = 7,867.58/x
  3. Step 3: Cross multiply
    14,154.80x = 19,533.08 × 7,867.58
  4. Step 4: Simplify right side
    14,154.80x = 153,677,991.55
  5. Step 5: Solve for x
    x = 153,677,991.55/14,154.80
  6. Step 6: Final answer
    x = 10,856.96

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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.