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Finding the Fourth Proportional to 14,705.67, 22,058.51 and 5,343.95

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Solution

The fourth proportional to 14,705.67, 22,058.51 and 5,343.95 is: 8,015.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,705.67 : 22,058.51 = 5,343.95 : x
  2. Step 2: Convert to fraction form
    14,705.67/22,058.51 = 5,343.95/x
  3. Step 3: Cross multiply
    14,705.67x = 22,058.51 × 5,343.95
  4. Step 4: Simplify right side
    14,705.67x = 117,879,437.50
  5. Step 5: Solve for x
    x = 117,879,437.50/14,705.67
  6. Step 6: Final answer
    x = 8,015.92

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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.