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Finding the Fourth Proportional to 13,666.16, 20,494.92 and 4,430

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Solution

The fourth proportional to 13,666.16, 20,494.92 and 4,430 is: 6,643.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,666.16 : 20,494.92 = 4,430 : x
  2. Step 2: Convert to fraction form
    13,666.16/20,494.92 = 4,430/x
  3. Step 3: Cross multiply
    13,666.16x = 20,494.92 × 4,430
  4. Step 4: Simplify right side
    13,666.16x = 90,792,495.60
  5. Step 5: Solve for x
    x = 90,792,495.60/13,666.16
  6. Step 6: Final answer
    x = 6,643.60

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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.