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Finding the Fourth Proportional to 14,701.42, 22,047.48 and 4,838.50

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Solution

The fourth proportional to 14,701.42, 22,047.48 and 4,838.50 is: 7,256.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,701.42 : 22,047.48 = 4,838.50 : x
  2. Step 2: Convert to fraction form
    14,701.42/22,047.48 = 4,838.50/x
  3. Step 3: Cross multiply
    14,701.42x = 22,047.48 × 4,838.50
  4. Step 4: Simplify right side
    14,701.42x = 106,676,731.98
  5. Step 5: Solve for x
    x = 106,676,731.98/14,701.42
  6. Step 6: Final answer
    x = 7,256.22

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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.