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Finding the Fourth Proportional to 38,437.64, 57,656.45 and 11,783.70

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Solution

The fourth proportional to 38,437.64, 57,656.45 and 11,783.70 is: 17,675.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,437.64 : 57,656.45 = 11,783.70 : x
  2. Step 2: Convert to fraction form
    38,437.64/57,656.45 = 11,783.70/x
  3. Step 3: Cross multiply
    38,437.64x = 57,656.45 × 11,783.70
  4. Step 4: Simplify right side
    38,437.64x = 679,406,420.63
  5. Step 5: Solve for x
    x = 679,406,420.63/38,437.64
  6. Step 6: Final answer
    x = 17,675.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.