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Finding the Fourth Proportional to 24,133.60, 36,122.64 and 12,430.72

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Solution

The fourth proportional to 24,133.60, 36,122.64 and 12,430.72 is: 18,606.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,133.60 : 36,122.64 = 12,430.72 : x
  2. Step 2: Convert to fraction form
    24,133.60/36,122.64 = 12,430.72/x
  3. Step 3: Cross multiply
    24,133.60x = 36,122.64 × 12,430.72
  4. Step 4: Simplify right side
    24,133.60x = 449,030,423.50
  5. Step 5: Solve for x
    x = 449,030,423.50/24,133.60
  6. Step 6: Final answer
    x = 18,606.03

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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.