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Finding the Fourth Proportional to 14,216.98, 21,297.75 and 8,656.53

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Solution

The fourth proportional to 14,216.98, 21,297.75 and 8,656.53 is: 12,967.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,216.98 : 21,297.75 = 8,656.53 : x
  2. Step 2: Convert to fraction form
    14,216.98/21,297.75 = 8,656.53/x
  3. Step 3: Cross multiply
    14,216.98x = 21,297.75 × 8,656.53
  4. Step 4: Simplify right side
    14,216.98x = 184,364,611.81
  5. Step 5: Solve for x
    x = 184,364,611.81/14,216.98
  6. Step 6: Final answer
    x = 12,967.92

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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.