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Finding the Fourth Proportional to 14,158.83, 19,537.48 and 7,784.37

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Solution

The fourth proportional to 14,158.83, 19,537.48 and 7,784.37 is: 10,741.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,158.83 : 19,537.48 = 7,784.37 : x
  2. Step 2: Convert to fraction form
    14,158.83/19,537.48 = 7,784.37/x
  3. Step 3: Cross multiply
    14,158.83x = 19,537.48 × 7,784.37
  4. Step 4: Simplify right side
    14,158.83x = 152,086,973.19
  5. Step 5: Solve for x
    x = 152,086,973.19/14,158.83
  6. Step 6: Final answer
    x = 10,741.49

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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.