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Finding the Fourth Proportional to 15,257.51, 22,889.76 and 5,897.61

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Solution

The fourth proportional to 15,257.51, 22,889.76 and 5,897.61 is: 8,847.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,257.51 : 22,889.76 = 5,897.61 : x
  2. Step 2: Convert to fraction form
    15,257.51/22,889.76 = 5,897.61/x
  3. Step 3: Cross multiply
    15,257.51x = 22,889.76 × 5,897.61
  4. Step 4: Simplify right side
    15,257.51x = 134,994,905.12
  5. Step 5: Solve for x
    x = 134,994,905.12/15,257.51
  6. Step 6: Final answer
    x = 8,847.77

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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.