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Finding the Fourth Proportional to 14,047.30, 21,071.08 and 5,725.63

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Solution

The fourth proportional to 14,047.30, 21,071.08 and 5,725.63 is: 8,588.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,047.30 : 21,071.08 = 5,725.63 : x
  2. Step 2: Convert to fraction form
    14,047.30/21,071.08 = 5,725.63/x
  3. Step 3: Cross multiply
    14,047.30x = 21,071.08 × 5,725.63
  4. Step 4: Simplify right side
    14,047.30x = 120,645,207.78
  5. Step 5: Solve for x
    x = 120,645,207.78/14,047.30
  6. Step 6: Final answer
    x = 8,588.50

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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.