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Finding the Fourth Proportional to 12,944.18, 17,854.88 and 9,762.50

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Solution

The fourth proportional to 12,944.18, 17,854.88 and 9,762.50 is: 13,466.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,944.18 : 17,854.88 = 9,762.50 : x
  2. Step 2: Convert to fraction form
    12,944.18/17,854.88 = 9,762.50/x
  3. Step 3: Cross multiply
    12,944.18x = 17,854.88 × 9,762.50
  4. Step 4: Simplify right side
    12,944.18x = 174,308,266
  5. Step 5: Solve for x
    x = 174,308,266/12,944.18
  6. Step 6: Final answer
    x = 13,466.15

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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.