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Finding the Fourth Proportional to 14,134.64, 21,210.32 and 5,376.88

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Solution

The fourth proportional to 14,134.64, 21,210.32 and 5,376.88 is: 8,068.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,134.64 : 21,210.32 = 5,376.88 : x
  2. Step 2: Convert to fraction form
    14,134.64/21,210.32 = 5,376.88/x
  3. Step 3: Cross multiply
    14,134.64x = 21,210.32 × 5,376.88
  4. Step 4: Simplify right side
    14,134.64x = 114,045,345.40
  5. Step 5: Solve for x
    x = 114,045,345.40/14,134.64
  6. Step 6: Final answer
    x = 8,068.50

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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.