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Finding the Fourth Proportional to 23,277.84, 34,922.23 and 7,695.47

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Solution

The fourth proportional to 23,277.84, 34,922.23 and 7,695.47 is: 11,545.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,277.84 : 34,922.23 = 7,695.47 : x
  2. Step 2: Convert to fraction form
    23,277.84/34,922.23 = 7,695.47/x
  3. Step 3: Cross multiply
    23,277.84x = 34,922.23 × 7,695.47
  4. Step 4: Simplify right side
    23,277.84x = 268,742,973.30
  5. Step 5: Solve for x
    x = 268,742,973.30/23,277.84
  6. Step 6: Final answer
    x = 11,545.01

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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.