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Finding the Fourth Proportional to 13,823.66, 19,077.93 and 7,853.76

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Solution

The fourth proportional to 13,823.66, 19,077.93 and 7,853.76 is: 10,838.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,823.66 : 19,077.93 = 7,853.76 : x
  2. Step 2: Convert to fraction form
    13,823.66/19,077.93 = 7,853.76/x
  3. Step 3: Cross multiply
    13,823.66x = 19,077.93 × 7,853.76
  4. Step 4: Simplify right side
    13,823.66x = 149,833,483.52
  5. Step 5: Solve for x
    x = 149,833,483.52/13,823.66
  6. Step 6: Final answer
    x = 10,838.91

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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.