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Finding the Fourth Proportional to 13,814.16, 19,070.75 and 10,782.77

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Solution

The fourth proportional to 13,814.16, 19,070.75 and 10,782.77 is: 14,885.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,814.16 : 19,070.75 = 10,782.77 : x
  2. Step 2: Convert to fraction form
    13,814.16/19,070.75 = 10,782.77/x
  3. Step 3: Cross multiply
    13,814.16x = 19,070.75 × 10,782.77
  4. Step 4: Simplify right side
    13,814.16x = 205,635,361.71
  5. Step 5: Solve for x
    x = 205,635,361.71/13,814.16
  6. Step 6: Final answer
    x = 14,885.84

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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.