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Finding the Fourth Proportional to 23,002.04, 34,494.58 and 8,207

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Solution

The fourth proportional to 23,002.04, 34,494.58 and 8,207 is: 12,307.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,002.04 : 34,494.58 = 8,207 : x
  2. Step 2: Convert to fraction form
    23,002.04/34,494.58 = 8,207/x
  3. Step 3: Cross multiply
    23,002.04x = 34,494.58 × 8,207
  4. Step 4: Simplify right side
    23,002.04x = 283,097,018.06
  5. Step 5: Solve for x
    x = 283,097,018.06/23,002.04
  6. Step 6: Final answer
    x = 12,307.47

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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.