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Finding the Fourth Proportional to 13,533.98, 18,677.10 and 7,565.62

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Solution

The fourth proportional to 13,533.98, 18,677.10 and 7,565.62 is: 10,440.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,533.98 : 18,677.10 = 7,565.62 : x
  2. Step 2: Convert to fraction form
    13,533.98/18,677.10 = 7,565.62/x
  3. Step 3: Cross multiply
    13,533.98x = 18,677.10 × 7,565.62
  4. Step 4: Simplify right side
    13,533.98x = 141,303,841.30
  5. Step 5: Solve for x
    x = 141,303,841.30/13,533.98
  6. Step 6: Final answer
    x = 10,440.67

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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.