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Finding the Fourth Proportional to 46,464, 69,695.84 and 13,184.06

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Solution

The fourth proportional to 46,464, 69,695.84 and 13,184.06 is: 19,776.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,464 : 69,695.84 = 13,184.06 : x
  2. Step 2: Convert to fraction form
    46,464/69,695.84 = 13,184.06/x
  3. Step 3: Cross multiply
    46,464x = 69,695.84 × 13,184.06
  4. Step 4: Simplify right side
    46,464x = 918,874,136.31
  5. Step 5: Solve for x
    x = 918,874,136.31/46,464
  6. Step 6: Final answer
    x = 19,776.04

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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.