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Finding the Fourth Proportional to 30,670.60, 46,005.89 and 9,894.10

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Solution

The fourth proportional to 30,670.60, 46,005.89 and 9,894.10 is: 14,841.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,670.60 : 46,005.89 = 9,894.10 : x
  2. Step 2: Convert to fraction form
    30,670.60/46,005.89 = 9,894.10/x
  3. Step 3: Cross multiply
    30,670.60x = 46,005.89 × 9,894.10
  4. Step 4: Simplify right side
    30,670.60x = 455,186,876.25
  5. Step 5: Solve for x
    x = 455,186,876.25/30,670.60
  6. Step 6: Final answer
    x = 14,841.15

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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.