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Finding the Fourth Proportional to 12,904.10, 17,809.06 and 7,314.50

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Solution

The fourth proportional to 12,904.10, 17,809.06 and 7,314.50 is: 10,094.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,904.10 : 17,809.06 = 7,314.50 : x
  2. Step 2: Convert to fraction form
    12,904.10/17,809.06 = 7,314.50/x
  3. Step 3: Cross multiply
    12,904.10x = 17,809.06 × 7,314.50
  4. Step 4: Simplify right side
    12,904.10x = 130,264,369.37
  5. Step 5: Solve for x
    x = 130,264,369.37/12,904.10
  6. Step 6: Final answer
    x = 10,094.80

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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.