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Finding the Fourth Proportional to 23,047.99, 31,810.11 and 13,356

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Solution

The fourth proportional to 23,047.99, 31,810.11 and 13,356 is: 18,433.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,047.99 : 31,810.11 = 13,356 : x
  2. Step 2: Convert to fraction form
    23,047.99/31,810.11 = 13,356/x
  3. Step 3: Cross multiply
    23,047.99x = 31,810.11 × 13,356
  4. Step 4: Simplify right side
    23,047.99x = 424,855,829.16
  5. Step 5: Solve for x
    x = 424,855,829.16/23,047.99
  6. Step 6: Final answer
    x = 18,433.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.