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Finding the Fourth Proportional to 12,224.03, 16,870.16 and 7,746.14

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Solution

The fourth proportional to 12,224.03, 16,870.16 and 7,746.14 is: 10,690.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,224.03 : 16,870.16 = 7,746.14 : x
  2. Step 2: Convert to fraction form
    12,224.03/16,870.16 = 7,746.14/x
  3. Step 3: Cross multiply
    12,224.03x = 16,870.16 × 7,746.14
  4. Step 4: Simplify right side
    12,224.03x = 130,678,682.72
  5. Step 5: Solve for x
    x = 130,678,682.72/12,224.03
  6. Step 6: Final answer
    x = 10,690.32

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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.