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Finding the Fourth Proportional to 14,120.64, 19,485.36 and 7,746.18

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Solution

The fourth proportional to 14,120.64, 19,485.36 and 7,746.18 is: 10,689.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,120.64 : 19,485.36 = 7,746.18 : x
  2. Step 2: Convert to fraction form
    14,120.64/19,485.36 = 7,746.18/x
  3. Step 3: Cross multiply
    14,120.64x = 19,485.36 × 7,746.18
  4. Step 4: Simplify right side
    14,120.64x = 150,937,105.92
  5. Step 5: Solve for x
    x = 150,937,105.92/14,120.64
  6. Step 6: Final answer
    x = 10,689.11

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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.