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Finding the Fourth Proportional to 13,904.80, 20,830.32 and 7,730.08

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Solution

The fourth proportional to 13,904.80, 20,830.32 and 7,730.08 is: 11,580.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,904.80 : 20,830.32 = 7,730.08 : x
  2. Step 2: Convert to fraction form
    13,904.80/20,830.32 = 7,730.08/x
  3. Step 3: Cross multiply
    13,904.80x = 20,830.32 × 7,730.08
  4. Step 4: Simplify right side
    13,904.80x = 161,020,040.03
  5. Step 5: Solve for x
    x = 161,020,040.03/13,904.80
  6. Step 6: Final answer
    x = 11,580.18

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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.