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Finding the Fourth Proportional to 14,002.81, 19,323.86 and 7,715.18

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Solution

The fourth proportional to 14,002.81, 19,323.86 and 7,715.18 is: 10,646.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,002.81 : 19,323.86 = 7,715.18 : x
  2. Step 2: Convert to fraction form
    14,002.81/19,323.86 = 7,715.18/x
  3. Step 3: Cross multiply
    14,002.81x = 19,323.86 × 7,715.18
  4. Step 4: Simplify right side
    14,002.81x = 149,087,058.19
  5. Step 5: Solve for x
    x = 149,087,058.19/14,002.81
  6. Step 6: Final answer
    x = 10,646.94

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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.