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Finding the Fourth Proportional to 21,502.50, 32,242.13 and 7,461.51

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Solution

The fourth proportional to 21,502.50, 32,242.13 and 7,461.51 is: 11,188.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,502.50 : 32,242.13 = 7,461.51 : x
  2. Step 2: Convert to fraction form
    21,502.50/32,242.13 = 7,461.51/x
  3. Step 3: Cross multiply
    21,502.50x = 32,242.13 × 7,461.51
  4. Step 4: Simplify right side
    21,502.50x = 240,574,938.11
  5. Step 5: Solve for x
    x = 240,574,938.11/21,502.50
  6. Step 6: Final answer
    x = 11,188.23

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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.