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Finding the Fourth Proportional to 13,543.02, 20,314.53 and 4,657.32

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Solution

The fourth proportional to 13,543.02, 20,314.53 and 4,657.32 is: 6,985.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,543.02 : 20,314.53 = 4,657.32 : x
  2. Step 2: Convert to fraction form
    13,543.02/20,314.53 = 4,657.32/x
  3. Step 3: Cross multiply
    13,543.02x = 20,314.53 × 4,657.32
  4. Step 4: Simplify right side
    13,543.02x = 94,611,266.86
  5. Step 5: Solve for x
    x = 94,611,266.86/13,543.02
  6. Step 6: Final answer
    x = 6,985.98

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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.