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Finding the Fourth Proportional to 14,157.93, 19,538.02 and 7,784.93

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Solution

The fourth proportional to 14,157.93, 19,538.02 and 7,784.93 is: 10,743.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,157.93 : 19,538.02 = 7,784.93 : x
  2. Step 2: Convert to fraction form
    14,157.93/19,538.02 = 7,784.93/x
  3. Step 3: Cross multiply
    14,157.93x = 19,538.02 × 7,784.93
  4. Step 4: Simplify right side
    14,157.93x = 152,102,110.60
  5. Step 5: Solve for x
    x = 152,102,110.60/14,157.93
  6. Step 6: Final answer
    x = 10,743.25

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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.