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Finding the Fourth Proportional to 14,656.80, 22,017.60 and 10,282.80

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Solution

The fourth proportional to 14,656.80, 22,017.60 and 10,282.80 is: 15,446.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,656.80 : 22,017.60 = 10,282.80 : x
  2. Step 2: Convert to fraction form
    14,656.80/22,017.60 = 10,282.80/x
  3. Step 3: Cross multiply
    14,656.80x = 22,017.60 × 10,282.80
  4. Step 4: Simplify right side
    14,656.80x = 226,402,577.28
  5. Step 5: Solve for x
    x = 226,402,577.28/14,656.80
  6. Step 6: Final answer
    x = 15,446.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.