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Finding the Fourth Proportional to 13,510.64, 18,642.78 and 7,541.48

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Solution

The fourth proportional to 13,510.64, 18,642.78 and 7,541.48 is: 10,406.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,510.64 : 18,642.78 = 7,541.48 : x
  2. Step 2: Convert to fraction form
    13,510.64/18,642.78 = 7,541.48/x
  3. Step 3: Cross multiply
    13,510.64x = 18,642.78 × 7,541.48
  4. Step 4: Simplify right side
    13,510.64x = 140,594,152.51
  5. Step 5: Solve for x
    x = 140,594,152.51/13,510.64
  6. Step 6: Final answer
    x = 10,406.18

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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.