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Finding the Fourth Proportional to 14,572.16, 21,826.65 and 9,026.90

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Solution

The fourth proportional to 14,572.16, 21,826.65 and 9,026.90 is: 13,520.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,572.16 : 21,826.65 = 9,026.90 : x
  2. Step 2: Convert to fraction form
    14,572.16/21,826.65 = 9,026.90/x
  3. Step 3: Cross multiply
    14,572.16x = 21,826.65 × 9,026.90
  4. Step 4: Simplify right side
    14,572.16x = 197,026,986.89
  5. Step 5: Solve for x
    x = 197,026,986.89/14,572.16
  6. Step 6: Final answer
    x = 13,520.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.