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Finding the Fourth Proportional to 30,459.84, 45,696.96 and 9,683.28

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Solution

The fourth proportional to 30,459.84, 45,696.96 and 9,683.28 is: 14,527.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,459.84 : 45,696.96 = 9,683.28 : x
  2. Step 2: Convert to fraction form
    30,459.84/45,696.96 = 9,683.28/x
  3. Step 3: Cross multiply
    30,459.84x = 45,696.96 × 9,683.28
  4. Step 4: Simplify right side
    30,459.84x = 442,496,458.83
  5. Step 5: Solve for x
    x = 442,496,458.83/30,459.84
  6. Step 6: Final answer
    x = 14,527.21

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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.