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Finding the Fourth Proportional to 13,835.25, 19,092.78 and 7,547.76

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Solution

The fourth proportional to 13,835.25, 19,092.78 and 7,547.76 is: 10,415.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,835.25 : 19,092.78 = 7,547.76 : x
  2. Step 2: Convert to fraction form
    13,835.25/19,092.78 = 7,547.76/x
  3. Step 3: Cross multiply
    13,835.25x = 19,092.78 × 7,547.76
  4. Step 4: Simplify right side
    13,835.25x = 144,107,721.17
  5. Step 5: Solve for x
    x = 144,107,721.17/13,835.25
  6. Step 6: Final answer
    x = 10,415.98

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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.