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Finding the Fourth Proportional to 19,831.12, 27,370.80 and 13,117.12

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Solution

The fourth proportional to 19,831.12, 27,370.80 and 13,117.12 is: 18,104.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,831.12 : 27,370.80 = 13,117.12 : x
  2. Step 2: Convert to fraction form
    19,831.12/27,370.80 = 13,117.12/x
  3. Step 3: Cross multiply
    19,831.12x = 27,370.80 × 13,117.12
  4. Step 4: Simplify right side
    19,831.12x = 359,026,068.10
  5. Step 5: Solve for x
    x = 359,026,068.10/19,831.12
  6. Step 6: Final answer
    x = 18,104.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.