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Finding the Fourth Proportional to 21,065.24, 31,607.03 and 12,300.16

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Solution

The fourth proportional to 21,065.24, 31,607.03 and 12,300.16 is: 18,455.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,065.24 : 31,607.03 = 12,300.16 : x
  2. Step 2: Convert to fraction form
    21,065.24/31,607.03 = 12,300.16/x
  3. Step 3: Cross multiply
    21,065.24x = 31,607.03 × 12,300.16
  4. Step 4: Simplify right side
    21,065.24x = 388,771,526.12
  5. Step 5: Solve for x
    x = 388,771,526.12/21,065.24
  6. Step 6: Final answer
    x = 18,455.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.