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Finding the Fourth Proportional to 15,642.98, 21,587.30 and 8,569.40

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Solution

The fourth proportional to 15,642.98, 21,587.30 and 8,569.40 is: 11,825.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,642.98 : 21,587.30 = 8,569.40 : x
  2. Step 2: Convert to fraction form
    15,642.98/21,587.30 = 8,569.40/x
  3. Step 3: Cross multiply
    15,642.98x = 21,587.30 × 8,569.40
  4. Step 4: Simplify right side
    15,642.98x = 184,990,208.62
  5. Step 5: Solve for x
    x = 184,990,208.62/15,642.98
  6. Step 6: Final answer
    x = 11,825.77

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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.