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Finding the Fourth Proportional to 19,643.32, 29,486.76 and 9,779.95

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Solution

The fourth proportional to 19,643.32, 29,486.76 and 9,779.95 is: 14,680.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,643.32 : 29,486.76 = 9,779.95 : x
  2. Step 2: Convert to fraction form
    19,643.32/29,486.76 = 9,779.95/x
  3. Step 3: Cross multiply
    19,643.32x = 29,486.76 × 9,779.95
  4. Step 4: Simplify right side
    19,643.32x = 288,379,038.46
  5. Step 5: Solve for x
    x = 288,379,038.46/19,643.32
  6. Step 6: Final answer
    x = 14,680.77

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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.