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Finding the Fourth Proportional to 23,653.77, 35,486.49 and 7,013.80

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Solution

The fourth proportional to 23,653.77, 35,486.49 and 7,013.80 is: 10,522.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,653.77 : 35,486.49 = 7,013.80 : x
  2. Step 2: Convert to fraction form
    23,653.77/35,486.49 = 7,013.80/x
  3. Step 3: Cross multiply
    23,653.77x = 35,486.49 × 7,013.80
  4. Step 4: Simplify right side
    23,653.77x = 248,894,931.06
  5. Step 5: Solve for x
    x = 248,894,931.06/23,653.77
  6. Step 6: Final answer
    x = 10,522.42

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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.