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Finding the Fourth Proportional to 14,030.15, 19,361.58 and 7,742.52

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Solution

The fourth proportional to 14,030.15, 19,361.58 and 7,742.52 is: 10,684.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,030.15 : 19,361.58 = 7,742.52 : x
  2. Step 2: Convert to fraction form
    14,030.15/19,361.58 = 7,742.52/x
  3. Step 3: Cross multiply
    14,030.15x = 19,361.58 × 7,742.52
  4. Step 4: Simplify right side
    14,030.15x = 149,907,420.38
  5. Step 5: Solve for x
    x = 149,907,420.38/14,030.15
  6. Step 6: Final answer
    x = 10,684.66

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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.