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Finding the Fourth Proportional to 19,064.16, 28,598.40 and 9,201.60

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Solution

The fourth proportional to 19,064.16, 28,598.40 and 9,201.60 is: 13,803.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,064.16 : 28,598.40 = 9,201.60 : x
  2. Step 2: Convert to fraction form
    19,064.16/28,598.40 = 9,201.60/x
  3. Step 3: Cross multiply
    19,064.16x = 28,598.40 × 9,201.60
  4. Step 4: Simplify right side
    19,064.16x = 263,151,037.44
  5. Step 5: Solve for x
    x = 263,151,037.44/19,064.16
  6. Step 6: Final answer
    x = 13,803.44

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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.