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Finding the Fourth Proportional to 22,038.29, 33,058.50 and 7,246.88

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Solution

The fourth proportional to 22,038.29, 33,058.50 and 7,246.88 is: 10,870.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,038.29 : 33,058.50 = 7,246.88 : x
  2. Step 2: Convert to fraction form
    22,038.29/33,058.50 = 7,246.88/x
  3. Step 3: Cross multiply
    22,038.29x = 33,058.50 × 7,246.88
  4. Step 4: Simplify right side
    22,038.29x = 239,570,817.19
  5. Step 5: Solve for x
    x = 239,570,817.19/22,038.29
  6. Step 6: Final answer
    x = 10,870.67

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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.