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Finding the Fourth Proportional to 15,335.31, 23,000.64 and 9,827.14

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Solution

The fourth proportional to 15,335.31, 23,000.64 and 9,827.14 is: 14,739.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,335.31 : 23,000.64 = 9,827.14 : x
  2. Step 2: Convert to fraction form
    15,335.31/23,000.64 = 9,827.14/x
  3. Step 3: Cross multiply
    15,335.31x = 23,000.64 × 9,827.14
  4. Step 4: Simplify right side
    15,335.31x = 226,030,513.42
  5. Step 5: Solve for x
    x = 226,030,513.42/15,335.31
  6. Step 6: Final answer
    x = 14,739.22

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1.5x scale

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.