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Finding the Fourth Proportional to 14,312.84, 19,741.74 and 13,831.16

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Solution

The fourth proportional to 14,312.84, 19,741.74 and 13,831.16 is: 19,077.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,312.84 : 19,741.74 = 13,831.16 : x
  2. Step 2: Convert to fraction form
    14,312.84/19,741.74 = 13,831.16/x
  3. Step 3: Cross multiply
    14,312.84x = 19,741.74 × 13,831.16
  4. Step 4: Simplify right side
    14,312.84x = 273,051,164.62
  5. Step 5: Solve for x
    x = 273,051,164.62/14,312.84
  6. Step 6: Final answer
    x = 19,077.36

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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.