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Finding the Fourth Proportional to 12,912.30, 19,368.45 and 12,547.80

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Solution

The fourth proportional to 12,912.30, 19,368.45 and 12,547.80 is: 18,821.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,912.30 : 19,368.45 = 12,547.80 : x
  2. Step 2: Convert to fraction form
    12,912.30/19,368.45 = 12,547.80/x
  3. Step 3: Cross multiply
    12,912.30x = 19,368.45 × 12,547.80
  4. Step 4: Simplify right side
    12,912.30x = 243,031,436.91
  5. Step 5: Solve for x
    x = 243,031,436.91/12,912.30
  6. Step 6: Final answer
    x = 18,821.70

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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.