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Finding the Fourth Proportional to 12,810.40, 19,215.60 and 9,894.40

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Solution

The fourth proportional to 12,810.40, 19,215.60 and 9,894.40 is: 14,841.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,810.40 : 19,215.60 = 9,894.40 : x
  2. Step 2: Convert to fraction form
    12,810.40/19,215.60 = 9,894.40/x
  3. Step 3: Cross multiply
    12,810.40x = 19,215.60 × 9,894.40
  4. Step 4: Simplify right side
    12,810.40x = 190,126,832.64
  5. Step 5: Solve for x
    x = 190,126,832.64/12,810.40
  6. Step 6: Final answer
    x = 14,841.60

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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.