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Finding the Fourth Proportional to 14,546.95, 21,820.90 and 4,017.76

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Solution

The fourth proportional to 14,546.95, 21,820.90 and 4,017.76 is: 6,026.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,546.95 : 21,820.90 = 4,017.76 : x
  2. Step 2: Convert to fraction form
    14,546.95/21,820.90 = 4,017.76/x
  3. Step 3: Cross multiply
    14,546.95x = 21,820.90 × 4,017.76
  4. Step 4: Simplify right side
    14,546.95x = 87,671,139.18
  5. Step 5: Solve for x
    x = 87,671,139.18/14,546.95
  6. Step 6: Final answer
    x = 6,026.77

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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.