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Finding the Fourth Proportional to 42,898.76, 64,345 and 13,315.80

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Solution

The fourth proportional to 42,898.76, 64,345 and 13,315.80 is: 19,972.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,898.76 : 64,345 = 13,315.80 : x
  2. Step 2: Convert to fraction form
    42,898.76/64,345 = 13,315.80/x
  3. Step 3: Cross multiply
    42,898.76x = 64,345 × 13,315.80
  4. Step 4: Simplify right side
    42,898.76x = 856,805,151
  5. Step 5: Solve for x
    x = 856,805,151/42,898.76
  6. Step 6: Final answer
    x = 19,972.73

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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.