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Finding the Fourth Proportional to 12,368.90, 18,533.90 and 9,564.59

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Solution

The fourth proportional to 12,368.90, 18,533.90 and 9,564.59 is: 14,331.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,368.90 : 18,533.90 = 9,564.59 : x
  2. Step 2: Convert to fraction form
    12,368.90/18,533.90 = 9,564.59/x
  3. Step 3: Cross multiply
    12,368.90x = 18,533.90 × 9,564.59
  4. Step 4: Simplify right side
    12,368.90x = 177,269,154.60
  5. Step 5: Solve for x
    x = 177,269,154.60/12,368.90
  6. Step 6: Final answer
    x = 14,331.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.