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Finding the Fourth Proportional to 14,707.16, 22,065.14 and 5,347

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Solution

The fourth proportional to 14,707.16, 22,065.14 and 5,347 is: 8,022.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,707.16 : 22,065.14 = 5,347 : x
  2. Step 2: Convert to fraction form
    14,707.16/22,065.14 = 5,347/x
  3. Step 3: Cross multiply
    14,707.16x = 22,065.14 × 5,347
  4. Step 4: Simplify right side
    14,707.16x = 117,982,303.58
  5. Step 5: Solve for x
    x = 117,982,303.58/14,707.16
  6. Step 6: Final answer
    x = 8,022.10

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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.