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Finding the Fourth Proportional to 13,931.61, 19,222.29 and 7,881.97

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Solution

The fourth proportional to 13,931.61, 19,222.29 and 7,881.97 is: 10,875.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,931.61 : 19,222.29 = 7,881.97 : x
  2. Step 2: Convert to fraction form
    13,931.61/19,222.29 = 7,881.97/x
  3. Step 3: Cross multiply
    13,931.61x = 19,222.29 × 7,881.97
  4. Step 4: Simplify right side
    13,931.61x = 151,509,513.11
  5. Step 5: Solve for x
    x = 151,509,513.11/13,931.61
  6. Step 6: Final answer
    x = 10,875.23

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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.