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Finding the Fourth Proportional to 19,776.98, 27,292.16 and 10,702.32

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Solution

The fourth proportional to 19,776.98, 27,292.16 and 10,702.32 is: 14,769.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,776.98 : 27,292.16 = 10,702.32 : x
  2. Step 2: Convert to fraction form
    19,776.98/27,292.16 = 10,702.32/x
  3. Step 3: Cross multiply
    19,776.98x = 27,292.16 × 10,702.32
  4. Step 4: Simplify right side
    19,776.98x = 292,089,376.30
  5. Step 5: Solve for x
    x = 292,089,376.30/19,776.98
  6. Step 6: Final answer
    x = 14,769.16

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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.