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Finding the Fourth Proportional to 14,740.16, 22,103.62 and 6,416.06

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Solution

The fourth proportional to 14,740.16, 22,103.62 and 6,416.06 is: 9,621.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,740.16 : 22,103.62 = 6,416.06 : x
  2. Step 2: Convert to fraction form
    14,740.16/22,103.62 = 6,416.06/x
  3. Step 3: Cross multiply
    14,740.16x = 22,103.62 × 6,416.06
  4. Step 4: Simplify right side
    14,740.16x = 141,818,025.58
  5. Step 5: Solve for x
    x = 141,818,025.58/14,740.16
  6. Step 6: Final answer
    x = 9,621.20

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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.