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Finding the Fourth Proportional to 24,319, 33,551.40 and 14,243.77

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Solution

The fourth proportional to 24,319, 33,551.40 and 14,243.77 is: 19,651.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,319 : 33,551.40 = 14,243.77 : x
  2. Step 2: Convert to fraction form
    24,319/33,551.40 = 14,243.77/x
  3. Step 3: Cross multiply
    24,319x = 33,551.40 × 14,243.77
  4. Step 4: Simplify right side
    24,319x = 477,898,424.78
  5. Step 5: Solve for x
    x = 477,898,424.78/24,319
  6. Step 6: Final answer
    x = 19,651.24

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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.