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Finding the Fourth Proportional to 13,831.90, 19,088.04 and 7,544.38

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Solution

The fourth proportional to 13,831.90, 19,088.04 and 7,544.38 is: 10,411.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,831.90 : 19,088.04 = 7,544.38 : x
  2. Step 2: Convert to fraction form
    13,831.90/19,088.04 = 7,544.38/x
  3. Step 3: Cross multiply
    13,831.90x = 19,088.04 × 7,544.38
  4. Step 4: Simplify right side
    13,831.90x = 144,007,427.22
  5. Step 5: Solve for x
    x = 144,007,427.22/13,831.90
  6. Step 6: Final answer
    x = 10,411.25

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Why These Related Problems?

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