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Finding the Fourth Proportional to 14,852.20, 20,492.58 and 9,823.72

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Solution

The fourth proportional to 14,852.20, 20,492.58 and 9,823.72 is: 13,554.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,852.20 : 20,492.58 = 9,823.72 : x
  2. Step 2: Convert to fraction form
    14,852.20/20,492.58 = 9,823.72/x
  3. Step 3: Cross multiply
    14,852.20x = 20,492.58 × 9,823.72
  4. Step 4: Simplify right side
    14,852.20x = 201,313,368.00
  5. Step 5: Solve for x
    x = 201,313,368.00/14,852.20
  6. Step 6: Final answer
    x = 13,554.45

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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.