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Finding the Fourth Proportional to 21,526.99, 32,292 and 7,485.23

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Solution

The fourth proportional to 21,526.99, 32,292 and 7,485.23 is: 11,228.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,526.99 : 32,292 = 7,485.23 : x
  2. Step 2: Convert to fraction form
    21,526.99/32,292 = 7,485.23/x
  3. Step 3: Cross multiply
    21,526.99x = 32,292 × 7,485.23
  4. Step 4: Simplify right side
    21,526.99x = 241,713,127.89
  5. Step 5: Solve for x
    x = 241,713,127.89/21,526.99
  6. Step 6: Final answer
    x = 11,228.38

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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.