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Finding the Fourth Proportional to 13,813.69, 19,062.88 and 7,526.06

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Solution

The fourth proportional to 13,813.69, 19,062.88 and 7,526.06 is: 10,385.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,813.69 : 19,062.88 = 7,526.06 : x
  2. Step 2: Convert to fraction form
    13,813.69/19,062.88 = 7,526.06/x
  3. Step 3: Cross multiply
    13,813.69x = 19,062.88 × 7,526.06
  4. Step 4: Simplify right side
    13,813.69x = 143,468,341.02
  5. Step 5: Solve for x
    x = 143,468,341.02/13,813.69
  6. Step 6: Final answer
    x = 10,385.96

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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.