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Finding the Fourth Proportional to 14,030.64, 19,361.16 and 7,742.16

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Solution

The fourth proportional to 14,030.64, 19,361.16 and 7,742.16 is: 10,683.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,030.64 : 19,361.16 = 7,742.16 : x
  2. Step 2: Convert to fraction form
    14,030.64/19,361.16 = 7,742.16/x
  3. Step 3: Cross multiply
    14,030.64x = 19,361.16 × 7,742.16
  4. Step 4: Simplify right side
    14,030.64x = 149,897,198.51
  5. Step 5: Solve for x
    x = 149,897,198.51/14,030.64
  6. Step 6: Final answer
    x = 10,683.56

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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.