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Finding the Fourth Proportional to 14,283.23, 19,712.00 and 10,523.57

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Solution

The fourth proportional to 14,283.23, 19,712.00 and 10,523.57 is: 14,523.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,283.23 : 19,712.00 = 10,523.57 : x
  2. Step 2: Convert to fraction form
    14,283.23/19,712.00 = 10,523.57/x
  3. Step 3: Cross multiply
    14,283.23x = 19,712.00 × 10,523.57
  4. Step 4: Simplify right side
    14,283.23x = 207,440,559.22
  5. Step 5: Solve for x
    x = 207,440,559.22/14,283.23
  6. Step 6: Final answer
    x = 14,523.36

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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.