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Finding the Fourth Proportional to 14,077.50, 21,123.54 and 7,152

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Solution

The fourth proportional to 14,077.50, 21,123.54 and 7,152 is: 10,731.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,077.50 : 21,123.54 = 7,152 : x
  2. Step 2: Convert to fraction form
    14,077.50/21,123.54 = 7,152/x
  3. Step 3: Cross multiply
    14,077.50x = 21,123.54 × 7,152
  4. Step 4: Simplify right side
    14,077.50x = 151,075,558.08
  5. Step 5: Solve for x
    x = 151,075,558.08/14,077.50
  6. Step 6: Final answer
    x = 10,731.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.