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Finding the Fourth Proportional to 14,070.67, 19,417.29 and 7,783.04

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Solution

The fourth proportional to 14,070.67, 19,417.29 and 7,783.04 is: 10,740.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,070.67 : 19,417.29 = 7,783.04 : x
  2. Step 2: Convert to fraction form
    14,070.67/19,417.29 = 7,783.04/x
  3. Step 3: Cross multiply
    14,070.67x = 19,417.29 × 7,783.04
  4. Step 4: Simplify right side
    14,070.67x = 151,125,505.85
  5. Step 5: Solve for x
    x = 151,125,505.85/14,070.67
  6. Step 6: Final answer
    x = 10,740.46

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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.