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Finding the Fourth Proportional to 21,585.84, 32,369.70 and 9,111.48

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Solution

The fourth proportional to 21,585.84, 32,369.70 and 9,111.48 is: 13,663.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,585.84 : 32,369.70 = 9,111.48 : x
  2. Step 2: Convert to fraction form
    21,585.84/32,369.70 = 9,111.48/x
  3. Step 3: Cross multiply
    21,585.84x = 32,369.70 × 9,111.48
  4. Step 4: Simplify right side
    21,585.84x = 294,935,874.16
  5. Step 5: Solve for x
    x = 294,935,874.16/21,585.84
  6. Step 6: Final answer
    x = 13,663.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.