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Finding the Fourth Proportional to 21,130.08, 31,685.76 and 9,435.12

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Solution

The fourth proportional to 21,130.08, 31,685.76 and 9,435.12 is: 14,148.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,130.08 : 31,685.76 = 9,435.12 : x
  2. Step 2: Convert to fraction form
    21,130.08/31,685.76 = 9,435.12/x
  3. Step 3: Cross multiply
    21,130.08x = 31,685.76 × 9,435.12
  4. Step 4: Simplify right side
    21,130.08x = 298,958,947.89
  5. Step 5: Solve for x
    x = 298,958,947.89/21,130.08
  6. Step 6: Final answer
    x = 14,148.50

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Why These Related Problems?

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