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Finding the Fourth Proportional to 13,854.45, 19,118.93 and 7,566.69

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Solution

The fourth proportional to 13,854.45, 19,118.93 and 7,566.69 is: 10,441.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,854.45 : 19,118.93 = 7,566.69 : x
  2. Step 2: Convert to fraction form
    13,854.45/19,118.93 = 7,566.69/x
  3. Step 3: Cross multiply
    13,854.45x = 19,118.93 × 7,566.69
  4. Step 4: Simplify right side
    13,854.45x = 144,666,978.61
  5. Step 5: Solve for x
    x = 144,666,978.61/13,854.45
  6. Step 6: Final answer
    x = 10,441.91

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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.