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Finding the Fourth Proportional to 12,298.02, 16,968.72 and 7,820.16

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Solution

The fourth proportional to 12,298.02, 16,968.72 and 7,820.16 is: 10,790.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,298.02 : 16,968.72 = 7,820.16 : x
  2. Step 2: Convert to fraction form
    12,298.02/16,968.72 = 7,820.16/x
  3. Step 3: Cross multiply
    12,298.02x = 16,968.72 × 7,820.16
  4. Step 4: Simplify right side
    12,298.02x = 132,698,105.40
  5. Step 5: Solve for x
    x = 132,698,105.40/12,298.02
  6. Step 6: Final answer
    x = 10,790.20

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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.