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Finding the Fourth Proportional to 25,663.94, 38,492.71 and 7,197.38

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Solution

The fourth proportional to 25,663.94, 38,492.71 and 7,197.38 is: 10,795.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,663.94 : 38,492.71 = 7,197.38 : x
  2. Step 2: Convert to fraction form
    25,663.94/38,492.71 = 7,197.38/x
  3. Step 3: Cross multiply
    25,663.94x = 38,492.71 × 7,197.38
  4. Step 4: Simplify right side
    25,663.94x = 277,046,661.10
  5. Step 5: Solve for x
    x = 277,046,661.10/25,663.94
  6. Step 6: Final answer
    x = 10,795.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.