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Finding the Fourth Proportional to 21,353.63, 32,045.02 and 7,502.63

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Solution

The fourth proportional to 21,353.63, 32,045.02 and 7,502.63 is: 11,259.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,353.63 : 32,045.02 = 7,502.63 : x
  2. Step 2: Convert to fraction form
    21,353.63/32,045.02 = 7,502.63/x
  3. Step 3: Cross multiply
    21,353.63x = 32,045.02 × 7,502.63
  4. Step 4: Simplify right side
    21,353.63x = 240,421,749.42
  5. Step 5: Solve for x
    x = 240,421,749.42/21,353.63
  6. Step 6: Final answer
    x = 11,259.06

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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.