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Finding the Fourth Proportional to 14,802.50, 22,214.71 and 7,011.34

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Solution

The fourth proportional to 14,802.50, 22,214.71 and 7,011.34 is: 10,522.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,802.50 : 22,214.71 = 7,011.34 : x
  2. Step 2: Convert to fraction form
    14,802.50/22,214.71 = 7,011.34/x
  3. Step 3: Cross multiply
    14,802.50x = 22,214.71 × 7,011.34
  4. Step 4: Simplify right side
    14,802.50x = 155,754,884.81
  5. Step 5: Solve for x
    x = 155,754,884.81/14,802.50
  6. Step 6: Final answer
    x = 10,522.20

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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.