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Finding the Fourth Proportional to 15,088.94, 22,633.88 and 7,192.31

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Solution

The fourth proportional to 15,088.94, 22,633.88 and 7,192.31 is: 10,788.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,088.94 : 22,633.88 = 7,192.31 : x
  2. Step 2: Convert to fraction form
    15,088.94/22,633.88 = 7,192.31/x
  3. Step 3: Cross multiply
    15,088.94x = 22,633.88 × 7,192.31
  4. Step 4: Simplify right side
    15,088.94x = 162,789,837.19
  5. Step 5: Solve for x
    x = 162,789,837.19/15,088.94
  6. Step 6: Final answer
    x = 10,788.69

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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.