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Finding the Fourth Proportional to 13,831.86, 19,088.04 and 7,544.28

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Solution

The fourth proportional to 13,831.86, 19,088.04 and 7,544.28 is: 10,411.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,831.86 : 19,088.04 = 7,544.28 : x
  2. Step 2: Convert to fraction form
    13,831.86/19,088.04 = 7,544.28/x
  3. Step 3: Cross multiply
    13,831.86x = 19,088.04 × 7,544.28
  4. Step 4: Simplify right side
    13,831.86x = 144,005,518.41
  5. Step 5: Solve for x
    x = 144,005,518.41/13,831.86
  6. Step 6: Final answer
    x = 10,411.15

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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.