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Finding the Fourth Proportional to 15,056.06, 22,588 and 5,696.14

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Solution

The fourth proportional to 15,056.06, 22,588 and 5,696.14 is: 8,545.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,056.06 : 22,588 = 5,696.14 : x
  2. Step 2: Convert to fraction form
    15,056.06/22,588 = 5,696.14/x
  3. Step 3: Cross multiply
    15,056.06x = 22,588 × 5,696.14
  4. Step 4: Simplify right side
    15,056.06x = 128,664,410.32
  5. Step 5: Solve for x
    x = 128,664,410.32/15,056.06
  6. Step 6: Final answer
    x = 8,545.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.