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Finding the Fourth Proportional to 21,710.46, 32,564.67 and 9,054.99

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Solution

The fourth proportional to 21,710.46, 32,564.67 and 9,054.99 is: 13,582.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,710.46 : 32,564.67 = 9,054.99 : x
  2. Step 2: Convert to fraction form
    21,710.46/32,564.67 = 9,054.99/x
  3. Step 3: Cross multiply
    21,710.46x = 32,564.67 × 9,054.99
  4. Step 4: Simplify right side
    21,710.46x = 294,872,761.20
  5. Step 5: Solve for x
    x = 294,872,761.20/21,710.46
  6. Step 6: Final answer
    x = 13,582.06

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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.