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Finding the Fourth Proportional to 16,084, 22,195.98 and 10,495

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Solution

The fourth proportional to 16,084, 22,195.98 and 10,495 is: 14,483.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,084 : 22,195.98 = 10,495 : x
  2. Step 2: Convert to fraction form
    16,084/22,195.98 = 10,495/x
  3. Step 3: Cross multiply
    16,084x = 22,195.98 × 10,495
  4. Step 4: Simplify right side
    16,084x = 232,946,810.10
  5. Step 5: Solve for x
    x = 232,946,810.10/16,084
  6. Step 6: Final answer
    x = 14,483.14

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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.