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Finding the Fourth Proportional to 14,901.60, 20,564.16 and 8,277.60

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Solution

The fourth proportional to 14,901.60, 20,564.16 and 8,277.60 is: 11,423.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,901.60 : 20,564.16 = 8,277.60 : x
  2. Step 2: Convert to fraction form
    14,901.60/20,564.16 = 8,277.60/x
  3. Step 3: Cross multiply
    14,901.60x = 20,564.16 × 8,277.60
  4. Step 4: Simplify right side
    14,901.60x = 170,221,890.82
  5. Step 5: Solve for x
    x = 170,221,890.82/14,901.60
  6. Step 6: Final answer
    x = 11,423.06

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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.