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Finding the Fourth Proportional to 14,030.59, 19,361.61 and 7,657.02

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Solution

The fourth proportional to 14,030.59, 19,361.61 and 7,657.02 is: 10,566.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,030.59 : 19,361.61 = 7,657.02 : x
  2. Step 2: Convert to fraction form
    14,030.59/19,361.61 = 7,657.02/x
  3. Step 3: Cross multiply
    14,030.59x = 19,361.61 × 7,657.02
  4. Step 4: Simplify right side
    14,030.59x = 148,252,235.00
  5. Step 5: Solve for x
    x = 148,252,235.00/14,030.59
  6. Step 6: Final answer
    x = 10,566.36

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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.