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Finding the Fourth Proportional to 13,312.16, 19,970.13 and 7,070.54

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Solution

The fourth proportional to 13,312.16, 19,970.13 and 7,070.54 is: 10,606.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,312.16 : 19,970.13 = 7,070.54 : x
  2. Step 2: Convert to fraction form
    13,312.16/19,970.13 = 7,070.54/x
  3. Step 3: Cross multiply
    13,312.16x = 19,970.13 × 7,070.54
  4. Step 4: Simplify right side
    13,312.16x = 141,199,602.97
  5. Step 5: Solve for x
    x = 141,199,602.97/13,312.16
  6. Step 6: Final answer
    x = 10,606.81

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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.