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Finding the Fourth Proportional to 30,384.40, 45,576.30 and 9,607.90

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Solution

The fourth proportional to 30,384.40, 45,576.30 and 9,607.90 is: 14,411.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,384.40 : 45,576.30 = 9,607.90 : x
  2. Step 2: Convert to fraction form
    30,384.40/45,576.30 = 9,607.90/x
  3. Step 3: Cross multiply
    30,384.40x = 45,576.30 × 9,607.90
  4. Step 4: Simplify right side
    30,384.40x = 437,892,532.77
  5. Step 5: Solve for x
    x = 437,892,532.77/30,384.40
  6. Step 6: Final answer
    x = 14,411.76

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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.