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Finding the Fourth Proportional to 14,117.36, 19,483.32 and 7,831.28

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Solution

The fourth proportional to 14,117.36, 19,483.32 and 7,831.28 is: 10,807.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,117.36 : 19,483.32 = 7,831.28 : x
  2. Step 2: Convert to fraction form
    14,117.36/19,483.32 = 7,831.28/x
  3. Step 3: Cross multiply
    14,117.36x = 19,483.32 × 7,831.28
  4. Step 4: Simplify right side
    14,117.36x = 152,579,334.25
  5. Step 5: Solve for x
    x = 152,579,334.25/14,117.36
  6. Step 6: Final answer
    x = 10,807.92

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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.