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Finding the Fourth Proportional to 12,312.47, 16,991.36 and 7,007.78

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Solution

The fourth proportional to 12,312.47, 16,991.36 and 7,007.78 is: 9,670.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,312.47 : 16,991.36 = 7,007.78 : x
  2. Step 2: Convert to fraction form
    12,312.47/16,991.36 = 7,007.78/x
  3. Step 3: Cross multiply
    12,312.47x = 16,991.36 × 7,007.78
  4. Step 4: Simplify right side
    12,312.47x = 119,071,592.79
  5. Step 5: Solve for x
    x = 119,071,592.79/12,312.47
  6. Step 6: Final answer
    x = 9,670.82

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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.