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Finding the Fourth Proportional to 30,465.60, 45,701.76 and 9,684.24

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Solution

The fourth proportional to 30,465.60, 45,701.76 and 9,684.24 is: 14,527.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,465.60 : 45,701.76 = 9,684.24 : x
  2. Step 2: Convert to fraction form
    30,465.60/45,701.76 = 9,684.24/x
  3. Step 3: Cross multiply
    30,465.60x = 45,701.76 × 9,684.24
  4. Step 4: Simplify right side
    30,465.60x = 442,586,812.26
  5. Step 5: Solve for x
    x = 442,586,812.26/30,465.60
  6. Step 6: Final answer
    x = 14,527.43

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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.