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Finding the Fourth Proportional to 25,696.48, 38,544.52 and 13,220

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Solution

The fourth proportional to 25,696.48, 38,544.52 and 13,220 is: 19,829.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,696.48 : 38,544.52 = 13,220 : x
  2. Step 2: Convert to fraction form
    25,696.48/38,544.52 = 13,220/x
  3. Step 3: Cross multiply
    25,696.48x = 38,544.52 × 13,220
  4. Step 4: Simplify right side
    25,696.48x = 509,558,554.40
  5. Step 5: Solve for x
    x = 509,558,554.40/25,696.48
  6. Step 6: Final answer
    x = 19,829.90

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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.