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Finding the Fourth Proportional to 14,953.10, 22,429.65 and 6,205.10

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Solution

The fourth proportional to 14,953.10, 22,429.65 and 6,205.10 is: 9,307.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,953.10 : 22,429.65 = 6,205.10 : x
  2. Step 2: Convert to fraction form
    14,953.10/22,429.65 = 6,205.10/x
  3. Step 3: Cross multiply
    14,953.10x = 22,429.65 × 6,205.10
  4. Step 4: Simplify right side
    14,953.10x = 139,178,221.22
  5. Step 5: Solve for x
    x = 139,178,221.22/14,953.10
  6. Step 6: Final answer
    x = 9,307.65

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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.