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Finding the Fourth Proportional to 12,364.02, 17,059.93 and 10,002.06

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Solution

The fourth proportional to 12,364.02, 17,059.93 and 10,002.06 is: 13,800.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,364.02 : 17,059.93 = 10,002.06 : x
  2. Step 2: Convert to fraction form
    12,364.02/17,059.93 = 10,002.06/x
  3. Step 3: Cross multiply
    12,364.02x = 17,059.93 × 10,002.06
  4. Step 4: Simplify right side
    12,364.02x = 170,634,443.46
  5. Step 5: Solve for x
    x = 170,634,443.46/12,364.02
  6. Step 6: Final answer
    x = 13,800.89

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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.