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Finding the Fourth Proportional to 30,674.34, 46,011.51 and 9,897.84

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Solution

The fourth proportional to 30,674.34, 46,011.51 and 9,897.84 is: 14,846.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,674.34 : 46,011.51 = 9,897.84 : x
  2. Step 2: Convert to fraction form
    30,674.34/46,011.51 = 9,897.84/x
  3. Step 3: Cross multiply
    30,674.34x = 46,011.51 × 9,897.84
  4. Step 4: Simplify right side
    30,674.34x = 455,414,564.14
  5. Step 5: Solve for x
    x = 455,414,564.14/30,674.34
  6. Step 6: Final answer
    x = 14,846.76

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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.