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Finding the Fourth Proportional to 14,030.15, 19,361.34 and 7,656.53

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Solution

The fourth proportional to 14,030.15, 19,361.34 and 7,656.53 is: 10,565.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,030.15 : 19,361.34 = 7,656.53 : x
  2. Step 2: Convert to fraction form
    14,030.15/19,361.34 = 7,656.53/x
  3. Step 3: Cross multiply
    14,030.15x = 19,361.34 × 7,656.53
  4. Step 4: Simplify right side
    14,030.15x = 148,240,583.74
  5. Step 5: Solve for x
    x = 148,240,583.74/14,030.15
  6. Step 6: Final answer
    x = 10,565.86

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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.