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Finding the Fourth Proportional to 14,681.35, 20,254.96 and 9,648.32

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Solution

The fourth proportional to 14,681.35, 20,254.96 and 9,648.32 is: 13,311.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,681.35 : 20,254.96 = 9,648.32 : x
  2. Step 2: Convert to fraction form
    14,681.35/20,254.96 = 9,648.32/x
  3. Step 3: Cross multiply
    14,681.35x = 20,254.96 × 9,648.32
  4. Step 4: Simplify right side
    14,681.35x = 195,426,246.45
  5. Step 5: Solve for x
    x = 195,426,246.45/14,681.35
  6. Step 6: Final answer
    x = 13,311.19

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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.