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Finding the Fourth Proportional to 15,228.32, 22,831.08 and 6,457.60

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Solution

The fourth proportional to 15,228.32, 22,831.08 and 6,457.60 is: 9,681.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,228.32 : 22,831.08 = 6,457.60 : x
  2. Step 2: Convert to fraction form
    15,228.32/22,831.08 = 6,457.60/x
  3. Step 3: Cross multiply
    15,228.32x = 22,831.08 × 6,457.60
  4. Step 4: Simplify right side
    15,228.32x = 147,433,982.21
  5. Step 5: Solve for x
    x = 147,433,982.21/15,228.32
  6. Step 6: Final answer
    x = 9,681.57

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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.