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Finding the Fourth Proportional to 14,423, 19,903.76 and 7,799

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Solution

The fourth proportional to 14,423, 19,903.76 and 7,799 is: 10,762.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,423 : 19,903.76 = 7,799 : x
  2. Step 2: Convert to fraction form
    14,423/19,903.76 = 7,799/x
  3. Step 3: Cross multiply
    14,423x = 19,903.76 × 7,799
  4. Step 4: Simplify right side
    14,423x = 155,229,424.24
  5. Step 5: Solve for x
    x = 155,229,424.24/14,423
  6. Step 6: Final answer
    x = 10,762.63

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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.