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Finding the Fourth Proportional to 13,865.65, 19,130.99 and 10,322.71

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Solution

The fourth proportional to 13,865.65, 19,130.99 and 10,322.71 is: 14,242.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,865.65 : 19,130.99 = 10,322.71 : x
  2. Step 2: Convert to fraction form
    13,865.65/19,130.99 = 10,322.71/x
  3. Step 3: Cross multiply
    13,865.65x = 19,130.99 × 10,322.71
  4. Step 4: Simplify right side
    13,865.65x = 197,483,562.34
  5. Step 5: Solve for x
    x = 197,483,562.34/13,865.65
  6. Step 6: Final answer
    x = 14,242.65

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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.