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Finding the Fourth Proportional to 22,509.58, 31,063.09 and 12,438.02

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Solution

The fourth proportional to 22,509.58, 31,063.09 and 12,438.02 is: 17,164.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,509.58 : 31,063.09 = 12,438.02 : x
  2. Step 2: Convert to fraction form
    22,509.58/31,063.09 = 12,438.02/x
  3. Step 3: Cross multiply
    22,509.58x = 31,063.09 × 12,438.02
  4. Step 4: Simplify right side
    22,509.58x = 386,363,334.68
  5. Step 5: Solve for x
    x = 386,363,334.68/22,509.58
  6. Step 6: Final answer
    x = 17,164.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.