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Finding the Fourth Proportional to 13,838.68, 19,089.66 and 9,368.74

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Solution

The fourth proportional to 13,838.68, 19,089.66 and 9,368.74 is: 12,923.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,838.68 : 19,089.66 = 9,368.74 : x
  2. Step 2: Convert to fraction form
    13,838.68/19,089.66 = 9,368.74/x
  3. Step 3: Cross multiply
    13,838.68x = 19,089.66 × 9,368.74
  4. Step 4: Simplify right side
    13,838.68x = 178,846,061.23
  5. Step 5: Solve for x
    x = 178,846,061.23/13,838.68
  6. Step 6: Final answer
    x = 12,923.64

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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.