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Finding the Fourth Proportional to 22,497.24, 33,746.40 and 6,915

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Solution

The fourth proportional to 22,497.24, 33,746.40 and 6,915 is: 10,372.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,497.24 : 33,746.40 = 6,915 : x
  2. Step 2: Convert to fraction form
    22,497.24/33,746.40 = 6,915/x
  3. Step 3: Cross multiply
    22,497.24x = 33,746.40 × 6,915
  4. Step 4: Simplify right side
    22,497.24x = 233,356,356
  5. Step 5: Solve for x
    x = 233,356,356/22,497.24
  6. Step 6: Final answer
    x = 10,372.67

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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.