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Finding the Fourth Proportional to 30,670.68, 46,006.02 and 9,894.18

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Solution

The fourth proportional to 30,670.68, 46,006.02 and 9,894.18 is: 14,841.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,670.68 : 46,006.02 = 9,894.18 : x
  2. Step 2: Convert to fraction form
    30,670.68/46,006.02 = 9,894.18/x
  3. Step 3: Cross multiply
    30,670.68x = 46,006.02 × 9,894.18
  4. Step 4: Simplify right side
    30,670.68x = 455,191,842.96
  5. Step 5: Solve for x
    x = 455,191,842.96/30,670.68
  6. Step 6: Final answer
    x = 14,841.27

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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.