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Finding the Fourth Proportional to 13,071.27, 19,595.89 and 5,670.16

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Solution

The fourth proportional to 13,071.27, 19,595.89 and 5,670.16 is: 8,500.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,071.27 : 19,595.89 = 5,670.16 : x
  2. Step 2: Convert to fraction form
    13,071.27/19,595.89 = 5,670.16/x
  3. Step 3: Cross multiply
    13,071.27x = 19,595.89 × 5,670.16
  4. Step 4: Simplify right side
    13,071.27x = 111,111,831.64
  5. Step 5: Solve for x
    x = 111,111,831.64/13,071.27
  6. Step 6: Final answer
    x = 8,500.46

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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.