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Finding the Fourth Proportional to 14,117.40, 19,482.54 and 7,743.60

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Solution

The fourth proportional to 14,117.40, 19,482.54 and 7,743.60 is: 10,686.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,117.40 : 19,482.54 = 7,743.60 : x
  2. Step 2: Convert to fraction form
    14,117.40/19,482.54 = 7,743.60/x
  3. Step 3: Cross multiply
    14,117.40x = 19,482.54 × 7,743.60
  4. Step 4: Simplify right side
    14,117.40x = 150,864,996.74
  5. Step 5: Solve for x
    x = 150,864,996.74/14,117.40
  6. Step 6: Final answer
    x = 10,686.46

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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.