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Finding the Fourth Proportional to 15,166.41, 22,754.10 and 7,776.05

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Solution

The fourth proportional to 15,166.41, 22,754.10 and 7,776.05 is: 11,666.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,166.41 : 22,754.10 = 7,776.05 : x
  2. Step 2: Convert to fraction form
    15,166.41/22,754.10 = 7,776.05/x
  3. Step 3: Cross multiply
    15,166.41x = 22,754.10 × 7,776.05
  4. Step 4: Simplify right side
    15,166.41x = 176,937,018.95
  5. Step 5: Solve for x
    x = 176,937,018.95/15,166.41
  6. Step 6: Final answer
    x = 11,666.38

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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.