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Finding the Fourth Proportional to 14,709.60, 22,075.20 and 9,777.60

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Solution

The fourth proportional to 14,709.60, 22,075.20 and 9,777.60 is: 14,673.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,709.60 : 22,075.20 = 9,777.60 : x
  2. Step 2: Convert to fraction form
    14,709.60/22,075.20 = 9,777.60/x
  3. Step 3: Cross multiply
    14,709.60x = 22,075.20 × 9,777.60
  4. Step 4: Simplify right side
    14,709.60x = 215,842,475.52
  5. Step 5: Solve for x
    x = 215,842,475.52/14,709.60
  6. Step 6: Final answer
    x = 14,673.58

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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.