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Finding the Fourth Proportional to 14,477.64, 21,701.47 and 6,585.63

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Solution

The fourth proportional to 14,477.64, 21,701.47 and 6,585.63 is: 9,871.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,477.64 : 21,701.47 = 6,585.63 : x
  2. Step 2: Convert to fraction form
    14,477.64/21,701.47 = 6,585.63/x
  3. Step 3: Cross multiply
    14,477.64x = 21,701.47 × 6,585.63
  4. Step 4: Simplify right side
    14,477.64x = 142,917,851.88
  5. Step 5: Solve for x
    x = 142,917,851.88/14,477.64
  6. Step 6: Final answer
    x = 9,871.63

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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.