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Finding the Fourth Proportional to 19,946.91, 29,684.91 and 19,282.50

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Solution

The fourth proportional to 19,946.91, 29,684.91 and 19,282.50 is: 28,696.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,946.91 : 29,684.91 = 19,282.50 : x
  2. Step 2: Convert to fraction form
    19,946.91/29,684.91 = 19,282.50/x
  3. Step 3: Cross multiply
    19,946.91x = 29,684.91 × 19,282.50
  4. Step 4: Simplify right side
    19,946.91x = 572,399,277.08
  5. Step 5: Solve for x
    x = 572,399,277.08/19,946.91
  6. Step 6: Final answer
    x = 28,696.14

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.