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Finding the Fourth Proportional to 15,848.25, 21,870.50 and 8,678.04

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Solution

The fourth proportional to 15,848.25, 21,870.50 and 8,678.04 is: 11,975.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,848.25 : 21,870.50 = 8,678.04 : x
  2. Step 2: Convert to fraction form
    15,848.25/21,870.50 = 8,678.04/x
  3. Step 3: Cross multiply
    15,848.25x = 21,870.50 × 8,678.04
  4. Step 4: Simplify right side
    15,848.25x = 189,792,986.16
  5. Step 5: Solve for x
    x = 189,792,986.16/15,848.25
  6. Step 6: Final answer
    x = 11,975.64

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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.