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Finding the Fourth Proportional to 21,271.74, 31,901.12 and 7,417.50

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Solution

The fourth proportional to 21,271.74, 31,901.12 and 7,417.50 is: 11,123.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,271.74 : 31,901.12 = 7,417.50 : x
  2. Step 2: Convert to fraction form
    21,271.74/31,901.12 = 7,417.50/x
  3. Step 3: Cross multiply
    21,271.74x = 31,901.12 × 7,417.50
  4. Step 4: Simplify right side
    21,271.74x = 236,626,557.60
  5. Step 5: Solve for x
    x = 236,626,557.60/21,271.74
  6. Step 6: Final answer
    x = 11,123.99

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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.