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Finding the Fourth Proportional to 16,036.40, 22,130.16 and 8,962.84

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Solution

The fourth proportional to 16,036.40, 22,130.16 and 8,962.84 is: 12,368.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,036.40 : 22,130.16 = 8,962.84 : x
  2. Step 2: Convert to fraction form
    16,036.40/22,130.16 = 8,962.84/x
  3. Step 3: Cross multiply
    16,036.40x = 22,130.16 × 8,962.84
  4. Step 4: Simplify right side
    16,036.40x = 198,349,083.25
  5. Step 5: Solve for x
    x = 198,349,083.25/16,036.40
  6. Step 6: Final answer
    x = 12,368.68

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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.