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Finding the Fourth Proportional to 24,955.76, 37,429.44 and 13,683.20

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Solution

The fourth proportional to 24,955.76, 37,429.44 and 13,683.20 is: 20,522.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,955.76 : 37,429.44 = 13,683.20 : x
  2. Step 2: Convert to fraction form
    24,955.76/37,429.44 = 13,683.20/x
  3. Step 3: Cross multiply
    24,955.76x = 37,429.44 × 13,683.20
  4. Step 4: Simplify right side
    24,955.76x = 512,154,513.41
  5. Step 5: Solve for x
    x = 512,154,513.41/24,955.76
  6. Step 6: Final answer
    x = 20,522.50

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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.