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Finding the Fourth Proportional to 19,254.16, 28,873.95 and 7,561

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Solution

The fourth proportional to 19,254.16, 28,873.95 and 7,561 is: 11,338.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,254.16 : 28,873.95 = 7,561 : x
  2. Step 2: Convert to fraction form
    19,254.16/28,873.95 = 7,561/x
  3. Step 3: Cross multiply
    19,254.16x = 28,873.95 × 7,561
  4. Step 4: Simplify right side
    19,254.16x = 218,315,935.95
  5. Step 5: Solve for x
    x = 218,315,935.95/19,254.16
  6. Step 6: Final answer
    x = 11,338.64

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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.