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Finding the Fourth Proportional to 12,684.30, 19,014.93 and 4,898.94

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Solution

The fourth proportional to 12,684.30, 19,014.93 and 4,898.94 is: 7,343.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,684.30 : 19,014.93 = 4,898.94 : x
  2. Step 2: Convert to fraction form
    12,684.30/19,014.93 = 4,898.94/x
  3. Step 3: Cross multiply
    12,684.30x = 19,014.93 × 4,898.94
  4. Step 4: Simplify right side
    12,684.30x = 93,153,001.17
  5. Step 5: Solve for x
    x = 93,153,001.17/12,684.30
  6. Step 6: Final answer
    x = 7,343.96

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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.