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Finding the Fourth Proportional to 13,215.16, 19,817.80 and 5,315.01

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Solution

The fourth proportional to 13,215.16, 19,817.80 and 5,315.01 is: 7,970.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,215.16 : 19,817.80 = 5,315.01 : x
  2. Step 2: Convert to fraction form
    13,215.16/19,817.80 = 5,315.01/x
  3. Step 3: Cross multiply
    13,215.16x = 19,817.80 × 5,315.01
  4. Step 4: Simplify right side
    13,215.16x = 105,331,679.51
  5. Step 5: Solve for x
    x = 105,331,679.51/13,215.16
  6. Step 6: Final answer
    x = 7,970.52

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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.