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Finding the Fourth Proportional to 23,045.50, 31,800.90 and 12,970.72

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Solution

The fourth proportional to 23,045.50, 31,800.90 and 12,970.72 is: 17,898.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,045.50 : 31,800.90 = 12,970.72 : x
  2. Step 2: Convert to fraction form
    23,045.50/31,800.90 = 12,970.72/x
  3. Step 3: Cross multiply
    23,045.50x = 31,800.90 × 12,970.72
  4. Step 4: Simplify right side
    23,045.50x = 412,480,569.65
  5. Step 5: Solve for x
    x = 412,480,569.65/23,045.50
  6. Step 6: Final answer
    x = 17,898.53

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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.