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Finding the Fourth Proportional to 14,154.92, 19,533.31 and 7,867.16

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Solution

The fourth proportional to 14,154.92, 19,533.31 and 7,867.16 is: 10,856.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,154.92 : 19,533.31 = 7,867.16 : x
  2. Step 2: Convert to fraction form
    14,154.92/19,533.31 = 7,867.16/x
  3. Step 3: Cross multiply
    14,154.92x = 19,533.31 × 7,867.16
  4. Step 4: Simplify right side
    14,154.92x = 153,671,538.10
  5. Step 5: Solve for x
    x = 153,671,538.10/14,154.92
  6. Step 6: Final answer
    x = 10,856.41

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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.