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Finding the Fourth Proportional to 14,038, 21,049.95 and 4,674.71

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Solution

The fourth proportional to 14,038, 21,049.95 and 4,674.71 is: 7,009.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,038 : 21,049.95 = 4,674.71 : x
  2. Step 2: Convert to fraction form
    14,038/21,049.95 = 4,674.71/x
  3. Step 3: Cross multiply
    14,038x = 21,049.95 × 4,674.71
  4. Step 4: Simplify right side
    14,038x = 98,402,411.76
  5. Step 5: Solve for x
    x = 98,402,411.76/14,038
  6. Step 6: Final answer
    x = 7,009.72

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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.