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Finding the Fourth Proportional to 13,642.93, 18,833.52 and 10,287.10

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Solution

The fourth proportional to 13,642.93, 18,833.52 and 10,287.10 is: 14,200.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,642.93 : 18,833.52 = 10,287.10 : x
  2. Step 2: Convert to fraction form
    13,642.93/18,833.52 = 10,287.10/x
  3. Step 3: Cross multiply
    13,642.93x = 18,833.52 × 10,287.10
  4. Step 4: Simplify right side
    13,642.93x = 193,742,303.59
  5. Step 5: Solve for x
    x = 193,742,303.59/13,642.93
  6. Step 6: Final answer
    x = 14,200.93

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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.