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Finding the Fourth Proportional to 14,300.48, 21,435 and 6,899.72

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Solution

The fourth proportional to 14,300.48, 21,435 and 6,899.72 is: 10,342.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,300.48 : 21,435 = 6,899.72 : x
  2. Step 2: Convert to fraction form
    14,300.48/21,435 = 6,899.72/x
  3. Step 3: Cross multiply
    14,300.48x = 21,435 × 6,899.72
  4. Step 4: Simplify right side
    14,300.48x = 147,895,498.20
  5. Step 5: Solve for x
    x = 147,895,498.20/14,300.48
  6. Step 6: Final answer
    x = 10,342.00

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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.