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Finding the Fourth Proportional to 14,407.07, 19,881.74 and 7,783.07

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Solution

The fourth proportional to 14,407.07, 19,881.74 and 7,783.07 is: 10,740.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,407.07 : 19,881.74 = 7,783.07 : x
  2. Step 2: Convert to fraction form
    14,407.07/19,881.74 = 7,783.07/x
  3. Step 3: Cross multiply
    14,407.07x = 19,881.74 × 7,783.07
  4. Step 4: Simplify right side
    14,407.07x = 154,740,974.14
  5. Step 5: Solve for x
    x = 154,740,974.14/14,407.07
  6. Step 6: Final answer
    x = 10,740.63

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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.