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Finding the Fourth Proportional to 14,726.58, 20,312.33 and 9,689.19

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Solution

The fourth proportional to 14,726.58, 20,312.33 and 9,689.19 is: 13,364.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,726.58 : 20,312.33 = 9,689.19 : x
  2. Step 2: Convert to fraction form
    14,726.58/20,312.33 = 9,689.19/x
  3. Step 3: Cross multiply
    14,726.58x = 20,312.33 × 9,689.19
  4. Step 4: Simplify right side
    14,726.58x = 196,810,024.71
  5. Step 5: Solve for x
    x = 196,810,024.71/14,726.58
  6. Step 6: Final answer
    x = 13,364.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.