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Finding the Fourth Proportional to 25,831.22, 38,746.55 and 8,301.06

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Solution

The fourth proportional to 25,831.22, 38,746.55 and 8,301.06 is: 12,451.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,831.22 : 38,746.55 = 8,301.06 : x
  2. Step 2: Convert to fraction form
    25,831.22/38,746.55 = 8,301.06/x
  3. Step 3: Cross multiply
    25,831.22x = 38,746.55 × 8,301.06
  4. Step 4: Simplify right side
    25,831.22x = 321,637,457.10
  5. Step 5: Solve for x
    x = 321,637,457.10/25,831.22
  6. Step 6: Final answer
    x = 12,451.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.