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Finding the Fourth Proportional to 14,508.84, 21,758.30 and 9,545.77

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Solution

The fourth proportional to 14,508.84, 21,758.30 and 9,545.77 is: 14,315.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,508.84 : 21,758.30 = 9,545.77 : x
  2. Step 2: Convert to fraction form
    14,508.84/21,758.30 = 9,545.77/x
  3. Step 3: Cross multiply
    14,508.84x = 21,758.30 × 9,545.77
  4. Step 4: Simplify right side
    14,508.84x = 207,699,570.87
  5. Step 5: Solve for x
    x = 207,699,570.87/14,508.84
  6. Step 6: Final answer
    x = 14,315.38

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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.