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Finding the Fourth Proportional to 19,838.28, 27,368.64 and 13,127.16

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Solution

The fourth proportional to 19,838.28, 27,368.64 and 13,127.16 is: 18,110.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,838.28 : 27,368.64 = 13,127.16 : x
  2. Step 2: Convert to fraction form
    19,838.28/27,368.64 = 13,127.16/x
  3. Step 3: Cross multiply
    19,838.28x = 27,368.64 × 13,127.16
  4. Step 4: Simplify right side
    19,838.28x = 359,272,516.26
  5. Step 5: Solve for x
    x = 359,272,516.26/19,838.28
  6. Step 6: Final answer
    x = 18,110.06

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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.