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Finding the Fourth Proportional to 23,848.65, 32,896.40 and 15,782.40

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Solution

The fourth proportional to 23,848.65, 32,896.40 and 15,782.40 is: 21,769.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,848.65 : 32,896.40 = 15,782.40 : x
  2. Step 2: Convert to fraction form
    23,848.65/32,896.40 = 15,782.40/x
  3. Step 3: Cross multiply
    23,848.65x = 32,896.40 × 15,782.40
  4. Step 4: Simplify right side
    23,848.65x = 519,184,064.45
  5. Step 5: Solve for x
    x = 519,184,064.45/23,848.65
  6. Step 6: Final answer
    x = 21,769.96

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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.