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Finding the Fourth Proportional to 13,054.08, 19,587.60 and 6,480

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Solution

The fourth proportional to 13,054.08, 19,587.60 and 6,480 is: 9,723.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,054.08 : 19,587.60 = 6,480 : x
  2. Step 2: Convert to fraction form
    13,054.08/19,587.60 = 6,480/x
  3. Step 3: Cross multiply
    13,054.08x = 19,587.60 × 6,480
  4. Step 4: Simplify right side
    13,054.08x = 126,927,648.00
  5. Step 5: Solve for x
    x = 126,927,648.00/13,054.08
  6. Step 6: Final answer
    x = 9,723.22

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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.