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Finding the Fourth Proportional to 14,123.52, 19,490.47 and 7,835.90

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Solution

The fourth proportional to 14,123.52, 19,490.47 and 7,835.90 is: 10,813.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,123.52 : 19,490.47 = 7,835.90 : x
  2. Step 2: Convert to fraction form
    14,123.52/19,490.47 = 7,835.90/x
  3. Step 3: Cross multiply
    14,123.52x = 19,490.47 × 7,835.90
  4. Step 4: Simplify right side
    14,123.52x = 152,725,256.83
  5. Step 5: Solve for x
    x = 152,725,256.83/14,123.52
  6. Step 6: Final answer
    x = 10,813.54

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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.