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Finding the Fourth Proportional to 12,810.16, 17,671.30 and 10,422.80

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Solution

The fourth proportional to 12,810.16, 17,671.30 and 10,422.80 is: 14,378.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,810.16 : 17,671.30 = 10,422.80 : x
  2. Step 2: Convert to fraction form
    12,810.16/17,671.30 = 10,422.80/x
  3. Step 3: Cross multiply
    12,810.16x = 17,671.30 × 10,422.80
  4. Step 4: Simplify right side
    12,810.16x = 184,184,471.80
  5. Step 5: Solve for x
    x = 184,184,471.80/12,810.16
  6. Step 6: Final answer
    x = 14,378.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.