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Finding the Fourth Proportional to 15,107.54, 22,663.59 and 7,707.95

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Solution

The fourth proportional to 15,107.54, 22,663.59 and 7,707.95 is: 11,563.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,107.54 : 22,663.59 = 7,707.95 : x
  2. Step 2: Convert to fraction form
    15,107.54/22,663.59 = 7,707.95/x
  3. Step 3: Cross multiply
    15,107.54x = 22,663.59 × 7,707.95
  4. Step 4: Simplify right side
    15,107.54x = 174,689,705.22
  5. Step 5: Solve for x
    x = 174,689,705.22/15,107.54
  6. Step 6: Final answer
    x = 11,563.08

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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.