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Finding the Fourth Proportional to 15,702.34, 21,669.32 and 8,532.31

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Solution

The fourth proportional to 15,702.34, 21,669.32 and 8,532.31 is: 11,774.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,702.34 : 21,669.32 = 8,532.31 : x
  2. Step 2: Convert to fraction form
    15,702.34/21,669.32 = 8,532.31/x
  3. Step 3: Cross multiply
    15,702.34x = 21,669.32 × 8,532.31
  4. Step 4: Simplify right side
    15,702.34x = 184,889,258.89
  5. Step 5: Solve for x
    x = 184,889,258.89/15,702.34
  6. Step 6: Final answer
    x = 11,774.63

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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.