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Finding the Fourth Proportional to 14,697.19, 22,045.66 and 5,931.97

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Solution

The fourth proportional to 14,697.19, 22,045.66 and 5,931.97 is: 8,897.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,697.19 : 22,045.66 = 5,931.97 : x
  2. Step 2: Convert to fraction form
    14,697.19/22,045.66 = 5,931.97/x
  3. Step 3: Cross multiply
    14,697.19x = 22,045.66 × 5,931.97
  4. Step 4: Simplify right side
    14,697.19x = 130,774,068.69
  5. Step 5: Solve for x
    x = 130,774,068.69/14,697.19
  6. Step 6: Final answer
    x = 8,897.90

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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.