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Finding the Fourth Proportional to 30,416.40, 45,612.96 and 14,617

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Solution

The fourth proportional to 30,416.40, 45,612.96 and 14,617 is: 21,919.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,416.40 : 45,612.96 = 14,617 : x
  2. Step 2: Convert to fraction form
    30,416.40/45,612.96 = 14,617/x
  3. Step 3: Cross multiply
    30,416.40x = 45,612.96 × 14,617
  4. Step 4: Simplify right side
    30,416.40x = 666,724,636.32
  5. Step 5: Solve for x
    x = 666,724,636.32/30,416.40
  6. Step 6: Final answer
    x = 21,919.91

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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.