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Finding the Fourth Proportional to 14,002.68, 19,323.70 and 7,715

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Solution

The fourth proportional to 14,002.68, 19,323.70 and 7,715 is: 10,646.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,002.68 : 19,323.70 = 7,715 : x
  2. Step 2: Convert to fraction form
    14,002.68/19,323.70 = 7,715/x
  3. Step 3: Cross multiply
    14,002.68x = 19,323.70 × 7,715
  4. Step 4: Simplify right side
    14,002.68x = 149,082,345.50
  5. Step 5: Solve for x
    x = 149,082,345.50/14,002.68
  6. Step 6: Final answer
    x = 10,646.70

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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.