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Finding the Fourth Proportional to 13,813.84, 19,063.47 and 7,526.62

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Solution

The fourth proportional to 13,813.84, 19,063.47 and 7,526.62 is: 10,386.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,813.84 : 19,063.47 = 7,526.62 : x
  2. Step 2: Convert to fraction form
    13,813.84/19,063.47 = 7,526.62/x
  3. Step 3: Cross multiply
    13,813.84x = 19,063.47 × 7,526.62
  4. Step 4: Simplify right side
    13,813.84x = 143,483,494.57
  5. Step 5: Solve for x
    x = 143,483,494.57/13,813.84
  6. Step 6: Final answer
    x = 10,386.94

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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.