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Finding the Fourth Proportional to 15,638.84, 21,580.92 and 9,671.16

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Solution

The fourth proportional to 15,638.84, 21,580.92 and 9,671.16 is: 13,345.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,638.84 : 21,580.92 = 9,671.16 : x
  2. Step 2: Convert to fraction form
    15,638.84/21,580.92 = 9,671.16/x
  3. Step 3: Cross multiply
    15,638.84x = 21,580.92 × 9,671.16
  4. Step 4: Simplify right side
    15,638.84x = 208,712,530.27
  5. Step 5: Solve for x
    x = 208,712,530.27/15,638.84
  6. Step 6: Final answer
    x = 13,345.79

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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.