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Finding the Fourth Proportional to 23,895, 32,973.80 and 13,283.88

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Solution

The fourth proportional to 23,895, 32,973.80 and 13,283.88 is: 18,331.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,895 : 32,973.80 = 13,283.88 : x
  2. Step 2: Convert to fraction form
    23,895/32,973.80 = 13,283.88/x
  3. Step 3: Cross multiply
    23,895x = 32,973.80 × 13,283.88
  4. Step 4: Simplify right side
    23,895x = 438,020,002.34
  5. Step 5: Solve for x
    x = 438,020,002.34/23,895
  6. Step 6: Final answer
    x = 18,331.03

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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.