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Finding the Fourth Proportional to 21,681.83, 32,527.83 and 9,202.41

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Solution

The fourth proportional to 21,681.83, 32,527.83 and 9,202.41 is: 13,805.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,681.83 : 32,527.83 = 9,202.41 : x
  2. Step 2: Convert to fraction form
    21,681.83/32,527.83 = 9,202.41/x
  3. Step 3: Cross multiply
    21,681.83x = 32,527.83 × 9,202.41
  4. Step 4: Simplify right side
    21,681.83x = 299,334,410.82
  5. Step 5: Solve for x
    x = 299,334,410.82/21,681.83
  6. Step 6: Final answer
    x = 13,805.77

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1.5x scale

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.