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Finding the Fourth Proportional to 10,447.80, 14,665.80 and 10,447.80

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Solution

The fourth proportional to 10,447.80, 14,665.80 and 10,447.80 is: 14,665.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,447.80 : 14,665.80 = 10,447.80 : x
  2. Step 2: Convert to fraction form
    10,447.80/14,665.80 = 10,447.80/x
  3. Step 3: Cross multiply
    10,447.80x = 14,665.80 × 10,447.80
  4. Step 4: Simplify right side
    10,447.80x = 153,225,345.24
  5. Step 5: Solve for x
    x = 153,225,345.24/10,447.80
  6. Step 6: Final answer
    x = 14,665.80

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.