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Finding the Fourth Proportional to 13,813.34, 19,062.78 and 7,526.12

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Solution

The fourth proportional to 13,813.34, 19,062.78 and 7,526.12 is: 10,386.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,813.34 : 19,062.78 = 7,526.12 : x
  2. Step 2: Convert to fraction form
    13,813.34/19,062.78 = 7,526.12/x
  3. Step 3: Cross multiply
    13,813.34x = 19,062.78 × 7,526.12
  4. Step 4: Simplify right side
    13,813.34x = 143,468,769.81
  5. Step 5: Solve for x
    x = 143,468,769.81/13,813.34
  6. Step 6: Final answer
    x = 10,386.25

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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.