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Finding the Fourth Proportional to 19,706.84, 27,196.32 and 11,095.98

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Solution

The fourth proportional to 19,706.84, 27,196.32 and 11,095.98 is: 15,312.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,706.84 : 27,196.32 = 11,095.98 : x
  2. Step 2: Convert to fraction form
    19,706.84/27,196.32 = 11,095.98/x
  3. Step 3: Cross multiply
    19,706.84x = 27,196.32 × 11,095.98
  4. Step 4: Simplify right side
    19,706.84x = 301,769,852.98
  5. Step 5: Solve for x
    x = 301,769,852.98/19,706.84
  6. Step 6: Final answer
    x = 15,312.95

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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.