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Finding the Fourth Proportional to 14,307.69, 21,457.66 and 5,986.00

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Solution

The fourth proportional to 14,307.69, 21,457.66 and 5,986.00 is: 8,977.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,307.69 : 21,457.66 = 5,986.00 : x
  2. Step 2: Convert to fraction form
    14,307.69/21,457.66 = 5,986.00/x
  3. Step 3: Cross multiply
    14,307.69x = 21,457.66 × 5,986.00
  4. Step 4: Simplify right side
    14,307.69x = 128,445,575.84
  5. Step 5: Solve for x
    x = 128,445,575.84/14,307.69
  6. Step 6: Final answer
    x = 8,977.38

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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.