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Finding the Fourth Proportional to 21,381.57, 32,055.95 and 13,065.50

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Solution

The fourth proportional to 21,381.57, 32,055.95 and 13,065.50 is: 19,588.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,381.57 : 32,055.95 = 13,065.50 : x
  2. Step 2: Convert to fraction form
    21,381.57/32,055.95 = 13,065.50/x
  3. Step 3: Cross multiply
    21,381.57x = 32,055.95 × 13,065.50
  4. Step 4: Simplify right side
    21,381.57x = 418,827,127.53
  5. Step 5: Solve for x
    x = 418,827,127.53/21,381.57
  6. Step 6: Final answer
    x = 19,588.23

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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.