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Finding the Fourth Proportional to 10,357.30, 15,523.80 and 9,312.40

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Solution

The fourth proportional to 10,357.30, 15,523.80 and 9,312.40 is: 13,957.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,357.30 : 15,523.80 = 9,312.40 : x
  2. Step 2: Convert to fraction form
    10,357.30/15,523.80 = 9,312.40/x
  3. Step 3: Cross multiply
    10,357.30x = 15,523.80 × 9,312.40
  4. Step 4: Simplify right side
    10,357.30x = 144,563,835.12
  5. Step 5: Solve for x
    x = 144,563,835.12/10,357.30
  6. Step 6: Final answer
    x = 13,957.68

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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.