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Finding the Fourth Proportional to 14,883.60, 22,298.40 and 7,075.20

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Solution

The fourth proportional to 14,883.60, 22,298.40 and 7,075.20 is: 10,599.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,883.60 : 22,298.40 = 7,075.20 : x
  2. Step 2: Convert to fraction form
    14,883.60/22,298.40 = 7,075.20/x
  3. Step 3: Cross multiply
    14,883.60x = 22,298.40 × 7,075.20
  4. Step 4: Simplify right side
    14,883.60x = 157,765,639.68
  5. Step 5: Solve for x
    x = 157,765,639.68/14,883.60
  6. Step 6: Final answer
    x = 10,599.97

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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.