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Finding the Fourth Proportional to 16,071.36, 22,182.88 and 9,783.68

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Solution

The fourth proportional to 16,071.36, 22,182.88 and 9,783.68 is: 13,504.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,071.36 : 22,182.88 = 9,783.68 : x
  2. Step 2: Convert to fraction form
    16,071.36/22,182.88 = 9,783.68/x
  3. Step 3: Cross multiply
    16,071.36x = 22,182.88 × 9,783.68
  4. Step 4: Simplify right side
    16,071.36x = 217,030,199.40
  5. Step 5: Solve for x
    x = 217,030,199.40/16,071.36
  6. Step 6: Final answer
    x = 13,504.16

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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.