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Finding the Fourth Proportional to 12,681.86, 19,030.96 and 6,842.50

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Solution

The fourth proportional to 12,681.86, 19,030.96 and 6,842.50 is: 10,268.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,681.86 : 19,030.96 = 6,842.50 : x
  2. Step 2: Convert to fraction form
    12,681.86/19,030.96 = 6,842.50/x
  3. Step 3: Cross multiply
    12,681.86x = 19,030.96 × 6,842.50
  4. Step 4: Simplify right side
    12,681.86x = 130,219,343.80
  5. Step 5: Solve for x
    x = 130,219,343.80/12,681.86
  6. Step 6: Final answer
    x = 10,268.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.