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Finding the Fourth Proportional to 16,705.60, 25,056.24 and 6,316

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Solution

The fourth proportional to 16,705.60, 25,056.24 and 6,316 is: 9,473.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,705.60 : 25,056.24 = 6,316 : x
  2. Step 2: Convert to fraction form
    16,705.60/25,056.24 = 6,316/x
  3. Step 3: Cross multiply
    16,705.60x = 25,056.24 × 6,316
  4. Step 4: Simplify right side
    16,705.60x = 158,255,211.84
  5. Step 5: Solve for x
    x = 158,255,211.84/16,705.60
  6. Step 6: Final answer
    x = 9,473.18

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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.