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Finding the Fourth Proportional to 24,840.55, 34,279.62 and 13,509.80

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Solution

The fourth proportional to 24,840.55, 34,279.62 and 13,509.80 is: 18,643.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,840.55 : 34,279.62 = 13,509.80 : x
  2. Step 2: Convert to fraction form
    24,840.55/34,279.62 = 13,509.80/x
  3. Step 3: Cross multiply
    24,840.55x = 34,279.62 × 13,509.80
  4. Step 4: Simplify right side
    24,840.55x = 463,110,810.28
  5. Step 5: Solve for x
    x = 463,110,810.28/24,840.55
  6. Step 6: Final answer
    x = 18,643.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.