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Finding the Fourth Proportional to 14,714.32, 22,056.72 and 5,346.40

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Solution

The fourth proportional to 14,714.32, 22,056.72 and 5,346.40 is: 8,014.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,714.32 : 22,056.72 = 5,346.40 : x
  2. Step 2: Convert to fraction form
    14,714.32/22,056.72 = 5,346.40/x
  3. Step 3: Cross multiply
    14,714.32x = 22,056.72 × 5,346.40
  4. Step 4: Simplify right side
    14,714.32x = 117,924,047.81
  5. Step 5: Solve for x
    x = 117,924,047.81/14,714.32
  6. Step 6: Final answer
    x = 8,014.24

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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.