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Finding the Fourth Proportional to 14,853.16, 20,496 and 8,564.32

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Solution

The fourth proportional to 14,853.16, 20,496 and 8,564.32 is: 11,817.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,853.16 : 20,496 = 8,564.32 : x
  2. Step 2: Convert to fraction form
    14,853.16/20,496 = 8,564.32/x
  3. Step 3: Cross multiply
    14,853.16x = 20,496 × 8,564.32
  4. Step 4: Simplify right side
    14,853.16x = 175,534,302.72
  5. Step 5: Solve for x
    x = 175,534,302.72/14,853.16
  6. Step 6: Final answer
    x = 11,817.98

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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.