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Finding the Fourth Proportional to 23,647.84, 32,632.16 and 13,036.88

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Solution

The fourth proportional to 23,647.84, 32,632.16 and 13,036.88 is: 17,989.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,647.84 : 32,632.16 = 13,036.88 : x
  2. Step 2: Convert to fraction form
    23,647.84/32,632.16 = 13,036.88/x
  3. Step 3: Cross multiply
    23,647.84x = 32,632.16 × 13,036.88
  4. Step 4: Simplify right side
    23,647.84x = 425,421,554.06
  5. Step 5: Solve for x
    x = 425,421,554.06/23,647.84
  6. Step 6: Final answer
    x = 17,989.87

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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.