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Finding the Fourth Proportional to 16,088.82, 22,202 and 8,919.06

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Solution

The fourth proportional to 16,088.82, 22,202 and 8,919.06 is: 12,307.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,088.82 : 22,202 = 8,919.06 : x
  2. Step 2: Convert to fraction form
    16,088.82/22,202 = 8,919.06/x
  3. Step 3: Cross multiply
    16,088.82x = 22,202 × 8,919.06
  4. Step 4: Simplify right side
    16,088.82x = 198,020,970.12
  5. Step 5: Solve for x
    x = 198,020,970.12/16,088.82
  6. Step 6: Final answer
    x = 12,307.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.