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Finding the Fourth Proportional to 21,048.50, 31,574.14 and 7,901.22

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Solution

The fourth proportional to 21,048.50, 31,574.14 and 7,901.22 is: 11,852.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,048.50 : 31,574.14 = 7,901.22 : x
  2. Step 2: Convert to fraction form
    21,048.50/31,574.14 = 7,901.22/x
  3. Step 3: Cross multiply
    21,048.50x = 31,574.14 × 7,901.22
  4. Step 4: Simplify right side
    21,048.50x = 249,474,226.45
  5. Step 5: Solve for x
    x = 249,474,226.45/21,048.50
  6. Step 6: Final answer
    x = 11,852.35

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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.