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Finding the Fourth Proportional to 14,689.16, 22,029.06 and 4,826.15

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Solution

The fourth proportional to 14,689.16, 22,029.06 and 4,826.15 is: 7,237.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,689.16 : 22,029.06 = 4,826.15 : x
  2. Step 2: Convert to fraction form
    14,689.16/22,029.06 = 4,826.15/x
  3. Step 3: Cross multiply
    14,689.16x = 22,029.06 × 4,826.15
  4. Step 4: Simplify right side
    14,689.16x = 106,315,437.77
  5. Step 5: Solve for x
    x = 106,315,437.77/14,689.16
  6. Step 6: Final answer
    x = 7,237.68

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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.