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Finding the Fourth Proportional to 24,420, 33,704.64 and 13,810.08

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Solution

The fourth proportional to 24,420, 33,704.64 and 13,810.08 is: 19,060.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,420 : 33,704.64 = 13,810.08 : x
  2. Step 2: Convert to fraction form
    24,420/33,704.64 = 13,810.08/x
  3. Step 3: Cross multiply
    24,420x = 33,704.64 × 13,810.08
  4. Step 4: Simplify right side
    24,420x = 465,463,774.77
  5. Step 5: Solve for x
    x = 465,463,774.77/24,420
  6. Step 6: Final answer
    x = 19,060.76

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1.5x scale

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.