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Finding the Fourth Proportional to 15,099.32, 22,643.86 and 5,737.08

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Solution

The fourth proportional to 15,099.32, 22,643.86 and 5,737.08 is: 8,603.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,099.32 : 22,643.86 = 5,737.08 : x
  2. Step 2: Convert to fraction form
    15,099.32/22,643.86 = 5,737.08/x
  3. Step 3: Cross multiply
    15,099.32x = 22,643.86 × 5,737.08
  4. Step 4: Simplify right side
    15,099.32x = 129,909,636.33
  5. Step 5: Solve for x
    x = 129,909,636.33/15,099.32
  6. Step 6: Final answer
    x = 8,603.67

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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.