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Finding the Fourth Proportional to 14,071.24, 19,417.98 and 7,783.48

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Solution

The fourth proportional to 14,071.24, 19,417.98 and 7,783.48 is: 10,741.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,071.24 : 19,417.98 = 7,783.48 : x
  2. Step 2: Convert to fraction form
    14,071.24/19,417.98 = 7,783.48/x
  3. Step 3: Cross multiply
    14,071.24x = 19,417.98 × 7,783.48
  4. Step 4: Simplify right side
    14,071.24x = 151,139,458.97
  5. Step 5: Solve for x
    x = 151,139,458.97/14,071.24
  6. Step 6: Final answer
    x = 10,741.02

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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.