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Finding the Fourth Proportional to 13,533.85, 18,677.13 and 7,565.77

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Solution

The fourth proportional to 13,533.85, 18,677.13 and 7,565.77 is: 10,441.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,533.85 : 18,677.13 = 7,565.77 : x
  2. Step 2: Convert to fraction form
    13,533.85/18,677.13 = 7,565.77/x
  3. Step 3: Cross multiply
    13,533.85x = 18,677.13 × 7,565.77
  4. Step 4: Simplify right side
    13,533.85x = 141,306,907.37
  5. Step 5: Solve for x
    x = 141,306,907.37/13,533.85
  6. Step 6: Final answer
    x = 10,441.00

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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.