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Finding the Fourth Proportional to 14,970.24, 20,656.08 and 9,378

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Solution

The fourth proportional to 14,970.24, 20,656.08 and 9,378 is: 12,939.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,970.24 : 20,656.08 = 9,378 : x
  2. Step 2: Convert to fraction form
    14,970.24/20,656.08 = 9,378/x
  3. Step 3: Cross multiply
    14,970.24x = 20,656.08 × 9,378
  4. Step 4: Simplify right side
    14,970.24x = 193,712,718.24
  5. Step 5: Solve for x
    x = 193,712,718.24/14,970.24
  6. Step 6: Final answer
    x = 12,939.85

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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.