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Finding the Fourth Proportional to 14,417.70, 21,638.69 and 5,658.76

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Solution

The fourth proportional to 14,417.70, 21,638.69 and 5,658.76 is: 8,492.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,417.70 : 21,638.69 = 5,658.76 : x
  2. Step 2: Convert to fraction form
    14,417.70/21,638.69 = 5,658.76/x
  3. Step 3: Cross multiply
    14,417.70x = 21,638.69 × 5,658.76
  4. Step 4: Simplify right side
    14,417.70x = 122,448,153.42
  5. Step 5: Solve for x
    x = 122,448,153.42/14,417.70
  6. Step 6: Final answer
    x = 8,492.90

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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.