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Finding the Fourth Proportional to 14,154.48, 19,533.12 and 7,866.84

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Solution

The fourth proportional to 14,154.48, 19,533.12 and 7,866.84 is: 10,856.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,154.48 : 19,533.12 = 7,866.84 : x
  2. Step 2: Convert to fraction form
    14,154.48/19,533.12 = 7,866.84/x
  3. Step 3: Cross multiply
    14,154.48x = 19,533.12 × 7,866.84
  4. Step 4: Simplify right side
    14,154.48x = 153,663,929.74
  5. Step 5: Solve for x
    x = 153,663,929.74/14,154.48
  6. Step 6: Final answer
    x = 10,856.20

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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.