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Finding the Fourth Proportional to 14,472.42, 19,988.28 and 9,748.50

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Solution

The fourth proportional to 14,472.42, 19,988.28 and 9,748.50 is: 13,463.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,472.42 : 19,988.28 = 9,748.50 : x
  2. Step 2: Convert to fraction form
    14,472.42/19,988.28 = 9,748.50/x
  3. Step 3: Cross multiply
    14,472.42x = 19,988.28 × 9,748.50
  4. Step 4: Simplify right side
    14,472.42x = 194,855,747.58
  5. Step 5: Solve for x
    x = 194,855,747.58/14,472.42
  6. Step 6: Final answer
    x = 13,463.94

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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.