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Finding the Fourth Proportional to 38,009.84, 57,014.76 and 10,307.12

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Solution

The fourth proportional to 38,009.84, 57,014.76 and 10,307.12 is: 15,460.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,009.84 : 57,014.76 = 10,307.12 : x
  2. Step 2: Convert to fraction form
    38,009.84/57,014.76 = 10,307.12/x
  3. Step 3: Cross multiply
    38,009.84x = 57,014.76 × 10,307.12
  4. Step 4: Simplify right side
    38,009.84x = 587,657,973.09
  5. Step 5: Solve for x
    x = 587,657,973.09/38,009.84
  6. Step 6: Final answer
    x = 15,460.68

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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.