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Finding the Fourth Proportional to 14,587.64, 20,131.40 and 8,923.32

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Solution

The fourth proportional to 14,587.64, 20,131.40 and 8,923.32 is: 12,314.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,587.64 : 20,131.40 = 8,923.32 : x
  2. Step 2: Convert to fraction form
    14,587.64/20,131.40 = 8,923.32/x
  3. Step 3: Cross multiply
    14,587.64x = 20,131.40 × 8,923.32
  4. Step 4: Simplify right side
    14,587.64x = 179,638,924.25
  5. Step 5: Solve for x
    x = 179,638,924.25/14,587.64
  6. Step 6: Final answer
    x = 12,314.46

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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.