Home / 12,023.46-16,584-11,032.02

Finding the Fourth Proportional to 12,023.46, 16,584 and 11,032.02

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Solution

The fourth proportional to 12,023.46, 16,584 and 11,032.02 is: 15,216.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,023.46 : 16,584 = 11,032.02 : x
  2. Step 2: Convert to fraction form
    12,023.46/16,584 = 11,032.02/x
  3. Step 3: Cross multiply
    12,023.46x = 16,584 × 11,032.02
  4. Step 4: Simplify right side
    12,023.46x = 182,955,019.68
  5. Step 5: Solve for x
    x = 182,955,019.68/12,023.46
  6. Step 6: Final answer
    x = 15,216.50

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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.