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Finding the Fourth Proportional to 21,584.90, 32,366.32 and 9,888.10

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Solution

The fourth proportional to 21,584.90, 32,366.32 and 9,888.10 is: 14,827.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,584.90 : 32,366.32 = 9,888.10 : x
  2. Step 2: Convert to fraction form
    21,584.90/32,366.32 = 9,888.10/x
  3. Step 3: Cross multiply
    21,584.90x = 32,366.32 × 9,888.10
  4. Step 4: Simplify right side
    21,584.90x = 320,041,303.16
  5. Step 5: Solve for x
    x = 320,041,303.16/21,584.90
  6. Step 6: Final answer
    x = 14,827.09

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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.