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Finding the Fourth Proportional to 15,964.10, 23,950.02 and 4,870.98

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Solution

The fourth proportional to 15,964.10, 23,950.02 and 4,870.98 is: 7,307.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,964.10 : 23,950.02 = 4,870.98 : x
  2. Step 2: Convert to fraction form
    15,964.10/23,950.02 = 4,870.98/x
  3. Step 3: Cross multiply
    15,964.10x = 23,950.02 × 4,870.98
  4. Step 4: Simplify right side
    15,964.10x = 116,660,068.42
  5. Step 5: Solve for x
    x = 116,660,068.42/15,964.10
  6. Step 6: Final answer
    x = 7,307.65

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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.