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Finding the Fourth Proportional to 12,319.08, 16,999.74 and 7,013.40

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Solution

The fourth proportional to 12,319.08, 16,999.74 and 7,013.40 is: 9,678.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,319.08 : 16,999.74 = 7,013.40 : x
  2. Step 2: Convert to fraction form
    12,319.08/16,999.74 = 7,013.40/x
  3. Step 3: Cross multiply
    12,319.08x = 16,999.74 × 7,013.40
  4. Step 4: Simplify right side
    12,319.08x = 119,225,976.52
  5. Step 5: Solve for x
    x = 119,225,976.52/12,319.08
  6. Step 6: Final answer
    x = 9,678.16

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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.